The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  X  X  X  X  0  X  1  1  1  1  0  1  1  X  0  1  0  0  1  1  X  1  X  1
 0  1  0  0  0  1  1  1  0  0  1 X+1  1  0  1  1  X  1  0  0  X  0  0  1 X+1  1  1  X  X  1  X  0  0 X+1  X  X
 0  0  1  0  1  1  0  1  0  1  1  0  0  1  1  X  1  1  1  X  1  0  1  0  1 X+1  X  X  0  1  X  1  X  1  0  0
 0  0  0  1  1  0  1  1  1  0  1  0  1  1  0  X  X  0 X+1 X+1  X  X X+1  1  1  0  1  1  1 X+1  X  1  1 X+1  X  1
 0  0  0  0  X  0  0  0  0  0  0  0  0  X  0  0  0  X  X  0  X  0  X  X  X  0  0  X  X  0  X  0  0  X  X  0
 0  0  0  0  0  X  0  0  0  0  0  0  0  X  X  0  X  0  X  X  0  0  X  X  0  X  X  X  0  X  X  0  0  X  X  0
 0  0  0  0  0  0  X  0  0  0  0  X  0  0  X  X  0  X  0  0  X  0  X  0  X  0  X  0  0  0  0  X  X  X  0  X
 0  0  0  0  0  0  0  X  0  0  0  X  0  0  X  X  0  X  X  X  0  X  X  X  0  0  0  0  X  0  0  X  0  0  0  0
 0  0  0  0  0  0  0  0  X  0  0  0  X  0  0  0  0  0  0  X  X  X  X  X  X  X  0  X  0  0  X  0  X  0  X  X
 0  0  0  0  0  0  0  0  0  X  0  0  X  0  X  X  0  X  X  0  0  X  X  0  X  0  0  X  0  X  X  0  X  X  X  X
 0  0  0  0  0  0  0  0  0  0  X  X  X  X  0  0  X  X  0  0  X  X  X  0  X  X  0  0  0  X  X  X  X  X  0  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+109x^24+80x^25+291x^26+350x^27+601x^28+760x^29+1167x^30+1428x^31+1928x^32+2388x^33+2652x^34+3142x^35+2884x^36+3200x^37+2590x^38+2440x^39+2001x^40+1448x^41+1243x^42+762x^43+553x^44+296x^45+227x^46+68x^47+104x^48+20x^49+22x^50+2x^51+10x^52+1x^64

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 46.5 seconds.