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

generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+440x^86+744x^88+898x^90+560x^92+458x^94+416x^96+222x^98+136x^100+126x^102+62x^104+24x^106+8x^110+1x^112

The gray image is a linear code over GF(2) with n=368, k=12 and d=172.
This code was found by Heurico 1.16 in 7.68 seconds.