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  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  0  1 X^2  1  1  1  1  X  1  1  X  X  X  1  1  1  1  1  1  0  X  X  1  1  X  0 X^2  1  1  0  1
 0  X  0  0  0  X X^2+X  X X^2 X^2 X^2+X X^2  0 X^2+X  X X^2+X  0  X X^2 X^2+X X^2  X  X  0  0  0  X  X X^2  0  X X^2+X X^2+X X^2  0 X^2+X X^2+X X^2+X  0  0 X^2 X^2 X^2  0 X^2+X X^2+X  X  0  X  X X^2+X  0  X  0 X^2  X X^2  0 X^2 X^2+X  X  X  X  0 X^2  0 X^2+X X^2+X X^2 X^2+X  X  0  0 X^2 X^2+X X^2  0 X^2  0  X  X  X X^2+X X^2  X  0 X^2  X  X X^2+X  0 X^2  0
 0  0  X  0  X  X  X  0 X^2  0 X^2+X  X  X X^2 X^2 X^2+X  0  0 X^2+X  X X^2 X^2  X  X  0 X^2+X X^2+X  0  0  X X^2+X X^2  0  0 X^2+X  X  X  0 X^2+X X^2 X^2  X X^2 X^2+X X^2 X^2 X^2+X  0  X  0  X  0  0 X^2 X^2+X  0 X^2+X X^2 X^2+X X^2+X  X  0 X^2 X^2+X  X  0 X^2  X  0 X^2 X^2 X^2+X  0  X X^2+X X^2+X  X X^2+X  0  X X^2  0  X X^2+X X^2+X X^2+X  X X^2+X X^2  0  X  0  X
 0  0  0  X  X  0  X X^2+X  0  X X^2 X^2 X^2+X X^2  X X^2+X  0  X  X  0  X X^2 X^2+X  0  0  X X^2+X  X X^2+X X^2 X^2  0  0 X^2+X  X  X X^2 X^2+X  0  X X^2 X^2 X^2+X  X  X X^2 X^2+X  0  X X^2 X^2 X^2 X^2  0 X^2+X  X  0 X^2+X  X  X  0 X^2+X X^2 X^2  X  X X^2+X X^2+X X^2  0 X^2+X X^2 X^2+X  0 X^2+X X^2+X X^2+X X^2 X^2 X^2  X  0  X X^2  0  X X^2+X  X X^2+X  X  X  X X^2+X
 0  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0  0  0  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2  0  0  0 X^2  0  0 X^2 X^2  0  0 X^2  0  0  0  0
 0  0  0  0  0 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2  0  0  0 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0

generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+38x^85+65x^86+112x^87+121x^88+110x^89+156x^90+210x^91+190x^92+180x^93+214x^94+178x^95+119x^96+66x^97+68x^98+38x^99+28x^100+32x^101+33x^102+26x^103+15x^104+16x^105+8x^106+8x^107+5x^108+6x^109+4x^111+1x^156

The gray image is a linear code over GF(2) with n=372, k=11 and d=170.
This code was found by Heurico 1.16 in 1.06 seconds.