The generator matrix

1 0 0 0 0 0 1 1 1 X 1 1 0 X 1 0 1 1 0 X 1 0 X 0 0 1 0 X 1 0 X
0 1 0 0 0 0 0 0 0 0 0 0 X 0 1 1 1 1 1 1 1 X 1 1 X X+1 1 X X X X
0 0 1 0 0 0 0 0 X X 1 1 1 1 1 1 X X X 0 X+1 1 X+1 1 1 0 0 X X+1 X 1
0 0 0 1 0 0 1 X 1 1 0 X+1 1 X X X 0 X 1 0 X+1 1 0 0 X 1 1 1 X 1 1
0 0 0 0 1 0 1 X+1 0 1 X X+1 1 0 X 0 X 1 X+1 1 X 1 X+1 0 1 0 X 1 0 1 0
0 0 0 0 0 1 X 1 1 X+1 1 X+1 0 0 X 1 X+1 0 0 1 1 X 0 X+1 X+1 X X+1 0 0 X+1 X

generates a code of length 31 over Z2[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+251x^24+488x^26+588x^28+736x^30+691x^32+624x^34+484x^36+192x^38+32x^40+8x^42+1x^56

The gray image is a linear code over GF(2) with n=62, k=12 and d=24.
This code was found by Heurico 1.10 in 0.594 seconds.