The generator matrix

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

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+210x^24+588x^28+831x^32+336x^36+78x^40+4x^44

The gray image is a linear code over GF(2) with n=62, k=11 and d=24.
This code was found by Heurico 1.16 in 18.6 seconds.