The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  0  1  X  1  1  X  1  1  1  1  1  1
 0  X  0  0  0  0  0  0  0  0  X  X  0  0  0  X  0  0  X  X  0  X  X  X  X  X  X  X  X  X  0
 0  0  X  0  0  0  0  0  0  X  X  X  0  X  X  0  0  X  X  0  0  X  X  X  0  0  0  X  X  0  0
 0  0  0  X  0  0  0  0  0  X  0  X  X  X  0  X  X  X  0  0  0  0  X  X  0  X  X  0  X  X  X
 0  0  0  0  X  0  0  0  X  0  0  X  X  0  X  X  0  X  0  X  0  X  0  X  X  0  X  0  0  0  0
 0  0  0  0  0  X  0  0  X  0  X  0  0  X  X  X  X  X  0  0  0  0  X  X  X  0  0  X  0  X  0
 0  0  0  0  0  0  X  0  X  X  X  0  0  0  X  X  X  X  X  X  X  X  X  0  0  0  X  0  X  X  X
 0  0  0  0  0  0  0  X  X  X  0  0  X  X  X  0  X  0  X  0  X  0  0  0  0  X  X  0  0  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+27x^24+38x^26+32x^27+41x^28+64x^29+34x^30+64x^31+29x^32+64x^33+25x^34+32x^35+22x^36+20x^38+7x^40+8x^42+1x^44+2x^46+1x^50

The gray image is a linear code over GF(2) with n=62, k=9 and d=24.
This code was found by Heurico 1.16 in 0.0248 seconds.