The generator matrix

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

generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+45x^24+74x^25+160x^26+172x^27+216x^28+238x^29+257x^30+314x^31+334x^32+418x^33+375x^34+370x^35+282x^36+234x^37+180x^38+158x^39+121x^40+60x^41+48x^42+10x^43+22x^44+3x^46+3x^48+1x^50

The gray image is a linear code over GF(2) with n=66, k=12 and d=24.
This code was found by Heurico 1.16 in 0.828 seconds.