The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  X  1  1  1  1  1  1  1  X  0  0  1  1  X  X  1  1  1  0  X
 0  1  0  0  0  0  0  0  0  1  1  1 X+1  0 X+1  1  X  1  0  X  1  X  0  X  1  1 X+1  X  1  X  1
 0  0  1  0  0  0  1  1  1  X  1 X+1 X+1 X+1 X+1 X+1  X  0 X+1  0  X  1  0  0  0  X  1  1  X  X  0
 0  0  0  1  0  1  1  0 X+1  X  0  X X+1  X X+1  0  1  1  1  0 X+1 X+1  X  0  1 X+1  X  0  X  1  0
 0  0  0  0  1  1  0 X+1 X+1  1  X X+1 X+1  1 X+1  X X+1  0  X  1 X+1  X X+1 X+1  X  X  1  1  0  1 X+1
 0  0  0  0  0  X  0  X  X  X  0  X  X  0  0  X  0  X  0  X  0  X  0  X  X  X  0  0  X  X  X
 0  0  0  0  0  0  X  0  X  0  X  X  0  X  X  0  X  X  0  0  X  0  0  X  0  X  0  X  X  0  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+258x^24+488x^26+584x^28+672x^30+774x^32+652x^34+430x^36+168x^38+62x^40+4x^42+2x^44+1x^48

The gray image is a linear code over GF(2) with n=62, k=12 and d=24.
This code was found by Heurico 1.16 in 81.8 seconds.