The generator matrix

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

generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+116x^87+154x^88+210x^89+96x^90+86x^91+104x^92+52x^93+36x^94+28x^95+31x^96+26x^97+5x^98+42x^99+10x^100+8x^101+5x^102+8x^103+4x^104+1x^110+1x^122

The gray image is a linear code over GF(2) with n=364, k=10 and d=174.
This code was found by Heurico 1.16 in 0.482 seconds.