The generator matrix

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

generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+358x^87+162x^88+560x^89+235x^90+636x^91+211x^92+446x^93+144x^94+368x^95+103x^96+208x^97+58x^98+224x^99+39x^100+106x^101+25x^102+82x^103+24x^104+60x^105+13x^106+12x^107+4x^108+12x^109+5x^110

The gray image is a linear code over GF(2) with n=372, k=12 and d=174.
This code was found by Heurico 1.16 in 9.74 seconds.