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  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  X  X  1  1 X^2  1  0  1  1  1  1  0  1  0  1  1  1  X  1  1  1  0  X  1  1  1
 0  X  0  X  0  0  X X^2+X  0 X^2  X X^2+X  0  X  X X^2  0 X^2  X X^2+X  X  X  0  0 X^2 X^2+X X^2 X^2+X X^2  0 X^2+X  X  X X^2+X  0 X^2  X  0 X^2+X  0 X^2+X  0 X^2 X^2+X X^2  0 X^2+X X^2  X  0 X^2+X X^2  X  0 X^2+X X^2+X X^2 X^2+X X^2  0  X  0  0  X  0  X X^2 X^2 X^2+X  0 X^2+X  X X^2+X  X X^2+X X^2 X^2+X X^2+X  X X^2  X  0 X^2 X^2  X X^2 X^2 X^2  X X^2 X^2 X^2+X X^2
 0  0  X  X  0 X^2+X  X  0 X^2  X  X  0 X^2  X  0 X^2+X  0  X  X  0 X^2+X X^2 X^2 X^2+X X^2 X^2+X X^2+X  0  0  X  X X^2  X  0  0  X  X X^2  0  X X^2+X X^2+X  0 X^2  X X^2+X X^2+X  0 X^2  X  0 X^2 X^2+X  X X^2 X^2+X  0  0  X  0  X  0  X X^2 X^2 X^2+X  X X^2+X  0  0  X  X X^2 X^2 X^2 X^2+X  X X^2 X^2 X^2 X^2 X^2  0  0  X  0  0  X X^2  X X^2+X  0 X^2
 0  0  0 X^2  0  0  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0  0  0  0  0  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2  0  0 X^2
 0  0  0  0 X^2  0  0  0  0  0  0  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0  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 X^2  0 X^2 X^2  0 X^2  0  0  0  0 X^2  0  0 X^2  0 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2
 0  0  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0  0  0  0  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0
 0  0  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2  0 X^2  0  0  0 X^2  0  0 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0  0  0  0  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+56x^85+72x^86+102x^87+61x^88+94x^89+147x^90+172x^91+242x^92+256x^93+254x^94+172x^95+115x^96+46x^97+64x^98+28x^99+21x^100+30x^101+34x^102+22x^103+7x^104+20x^105+5x^106+16x^107+10x^109+1x^164

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 1.15 seconds.