The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 X X 1 X
0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 2X 2X 0 0 2X 2X 0 2X 2X 0 2X 0 2X 0 2X 2X 0 0 2X 2X 2X 0 2X 0 2X 0 2X 2X 0 2X 2X 0 0 2X 0 0 2X 2X 0 2X 2X 2X 2X 0 2X 2X 2X 0 0 2X 2X 2X 2X 0 2X 2X 0 0 0 0 0 2X 2X 0 2X 2X 0 0 2X 0 0 0 2X
0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 0 0 2X 2X 0 2X 2X 0 2X 2X 0 0 2X 2X 0 2X 0 0 2X 2X 2X 0 2X 0 0 2X 0 2X 2X 2X 2X 0 2X 2X 0 0 0 2X 2X 0 0 2X 2X 2X 2X 0 0 2X 0 2X 2X 0 2X 0 0 2X 0 0 2X 0 2X 0 0 2X 0 2X 2X 0 2X 2X 0 2X
0 0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 0 2X 2X 2X 0 0 0 2X 2X 2X 2X 2X 2X 0 0 0 2X 2X 2X 0 2X 0 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 0 2X 2X 2X 0 0 0 2X 0 2X 0 0 2X 2X 2X 0 2X 0 2X 0 2X 0 2X 0 0 2X 2X 2X 2X 0 2X 2X 0 0 0 0 0 2X 2X 0
0 0 0 0 2X 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 0 0 0 0 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 0 2X 2X 0 0 2X 0 0 0 0 2X 0 2X 2X 0 0 0 0 0 0 0 2X 0 2X 2X 2X 2X 0 0 2X 0 0 2X 2X 2X 0 2X 2X 2X 0 2X 2X 0 0 0 2X 2X 0 0 2X 2X 0 0 0 2X 0 2X 2X 0 2X 0
0 0 0 0 0 2X 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 0 0 0 0 0 0 0 0 0 0 0 2X 2X 0 2X 2X 2X 0 0 2X 2X 2X 0 2X 0 2X 2X 0 0 0 2X 2X 0 2X 0 0 2X 2X 2X 2X 0 2X 2X 0 2X 0 0 2X 0 0 0 0 2X 0 2X 0 0 0 2X 2X 0 2X 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 0 0 2X
0 0 0 0 0 0 2X 0 2X 2X 2X 0 0 0 0 2X 2X 2X 0 0 0 0 0 0 0 2X 0 2X 2X 0 2X 2X 0 0 0 2X 2X 2X 0 2X 2X 0 0 0 2X 2X 0 2X 0 2X 0 2X 2X 2X 2X 0 0 2X 2X 2X 2X 0 2X 2X 0 0 0 2X 2X 0 2X 0 0 2X 2X 2X 0 2X 0 2X 0 0 0 2X 2X 0 0 0 2X 0 0 0 2X
0 0 0 0 0 0 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 0 0 0 0 0 0 0 0 2X 2X 0 0 2X 2X 2X 0 0 2X 2X 2X 0 2X 0 2X 2X 0 2X 2X 0 2X 2X 0 0 0 0 2X 0 0 2X 0 0 2X 0 2X 2X 2X 0 2X 0 2X 0 2X 2X 2X 2X 2X 0 0 2X 0 2X 0 2X 2X 0 0 0 0 2X 2X 0 0 2X 0 0 2X
generates a code of length 93 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 86.
Homogenous weight enumerator: w(x)=1x^0+45x^86+71x^88+40x^90+80x^92+1536x^93+135x^94+86x^96+8x^98+27x^102+17x^104+1x^110+1x^176
The gray image is a code over GF(2) with n=744, k=11 and d=344.
This code was found by Heurico 1.16 in 1.14 seconds.