The generator matrix

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

generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+54x^86+230x^87+336x^88+410x^89+451x^90+372x^91+383x^92+294x^93+193x^94+286x^95+238x^96+162x^97+146x^98+128x^99+107x^100+58x^101+79x^102+46x^103+14x^104+28x^105+33x^106+20x^107+8x^108+8x^109+4x^110+6x^111+1x^112

The gray image is a linear code over GF(2) with n=372, k=12 and d=172.
This code was found by Heurico 1.11 in 0.593 seconds.