The generator matrix

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

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+104x^25+345x^26+372x^27+882x^28+650x^29+1321x^30+860x^31+1397x^32+618x^33+843x^34+348x^35+270x^36+94x^37+51x^38+20x^39+10x^40+6x^41

The gray image is a linear code over GF(2) with n=124, k=13 and d=50.
This code was found by Heurico 1.16 in 2.29 seconds.