The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  0  0  0  0  0  X  0  X  X  0  0  X  X  0  X  X  0  0  0  0  X  X  0  0  X  X  0  0
 0  0  X  0  0  0  0  0  X  X  X  0  0  X  X  0  X  X  0  0  0  0  X  X  0  X  0  X  0  0  0
 0  0  0  X  0  0  0  X  0  X  0  X  0  X  X  0  0  X  X  0  0  X  X  0  0  X  X  X  X  0  0
 0  0  0  0  X  0  0  X  0  0  X  X  0  X  0  X  X  X  0  X  X  X  X  0  0  X  X  0  0  0  0
 0  0  0  0  0  X  0  X  X  0  X  0  X  X  0  0  0  X  X  X  X  0  0  0  X  X  X  X  0  0  0
 0  0  0  0  0  0  X  X  X  0  0  X  X  0  X  0  X  X  0  0  X  0  X  0  X  X  0  0  0  0  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+20x^24+42x^28+96x^30+27x^32+32x^34+22x^36+15x^40+1x^56

The gray image is a linear code over GF(2) with n=62, k=8 and d=24.
This code was found by Heurico 1.16 in 2.67e-008 seconds.