The generator matrix

 1  0  0  0  0  0  1  1  1  X  1  1  X  1  0  0  1  1  1  1  1  1  0  1  0  1  1  1  X  X  X  1  1  X  1  X
 0  1  0  0  0  0  0  0  0  1  1 X+1  0 X+1  1  1 X+1  1  1  X X+1  1  X  0  0  X  X  0  1  0  0 X+1 X+1  1 X+1  X
 0  0  1  0  0  0  0  0  0  0  1 X+1  1  X  0 X+1 X+1  X  X  1  1  X  1 X+1  1  1  0  X  1  X  1  1 X+1  1  0  0
 0  0  0  1  0  0  0  1  1  1  0 X+1 X+1  1  1 X+1  1  0  0  X  X X+1  1  X  X X+1  X  X  0  0  X  0 X+1  0  X  1
 0  0  0  0  1  0  1  1  0  1  0  1 X+1  X  X X+1  X  X  0 X+1 X+1  1  0  0  1 X+1  X X+1  0  1  0  X  X  1  X  X
 0  0  0  0  0  1  1  0  1  1  X X+1 X+1  1  1  X  0  X X+1  X  1  1  0  0  X  0 X+1  X  1  1  1  1  0  X  1  X
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  0  X  0  X  X  0  X  0  0  X  X  X
 0  0  0  0  0  0  0  X  0  0  X  0  X  X  X  X  0  0  X  0  X  0  0  X  0  X  X  0  X  X  0  X  0  0  0  0
 0  0  0  0  0  0  0  0  X  0  0  X  X  0  X  X  X  X  X  0  X  0  X  0  X  0  X  X  X  0  0  X  0  0  0  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+106x^25+236x^26+406x^27+649x^28+844x^29+1111x^30+1530x^31+1907x^32+2240x^33+2694x^34+2986x^35+3083x^36+3042x^37+2814x^38+2388x^39+1961x^40+1626x^41+1160x^42+778x^43+527x^44+304x^45+163x^46+98x^47+58x^48+28x^49+14x^50+6x^51+5x^52+2x^53+1x^56

The gray image is a linear code over GF(2) with n=72, k=15 and d=25.
This code was found by Heurico 1.16 in 66.1 seconds.