The generator matrix

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

generates a code of length 36 over Z2[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+37x^24+78x^25+219x^26+404x^27+646x^28+836x^29+1202x^30+1492x^31+1801x^32+2340x^33+2589x^34+2924x^35+3166x^36+3090x^37+2876x^38+2488x^39+1946x^40+1526x^41+1077x^42+796x^43+530x^44+296x^45+210x^46+84x^47+54x^48+24x^49+19x^50+4x^51+10x^52+2x^53+1x^56

The gray image is a linear code over GF(2) with n=72, k=15 and d=24.
This code was found by Heurico 1.16 in 49.1 seconds.