The generator matrix

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

generates a code of length 36 over Z2[X]/(X^2) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+84x^25+220x^26+444x^27+642x^28+878x^29+1150x^30+1432x^31+1988x^32+2252x^33+2614x^34+3110x^35+2958x^36+2868x^37+2877x^38+2544x^39+2050x^40+1524x^41+1140x^42+808x^43+498x^44+302x^45+172x^46+104x^47+49x^48+28x^49+18x^50+6x^51+6x^52+1x^54

The gray image is a linear code over GF(2) with n=72, k=15 and d=25.
This code was found by Heurico 1.11 in 22.7 seconds.