The generator matrix

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

generates a code of length 31 over Z2[X]/(X^3) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+68x^25+135x^26+256x^27+348x^28+432x^29+527x^30+586x^31+617x^32+386x^33+271x^34+228x^35+112x^36+68x^37+25x^38+18x^39+10x^40+6x^41+2x^42

The gray image is a linear code over GF(2) with n=124, k=12 and d=50.
This code was found by Heurico 1.16 in 0.339 seconds.