The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  X  1  1  0  0  X  X  0  1  X  1  1  1  1  1  0  X  1  0  1  1  0  1  0  1
 0  1  0  0  0  0  0  0  0  1 X+1  1  X  1  X  1  1  1  1 X+1  1  1 X+1 X+1  0  0  1  0  X  1  X X+1  1  0  0  0
 0  0  1  0  0  0  1  1  1  1  1  X X+1  X  0  1  1 X+1 X+1 X+1  0  X  0  X  0  0  X  X  1 X+1  0  0 X+1 X+1  0  0
 0  0  0  1  0  1  1  0  1  X X+1 X+1 X+1  1  1  X  1  X X+1  1 X+1  0  1  X  1 X+1  0  1 X+1  1  0  1  0  0  0  0
 0  0  0  0  1  1  0  1 X+1  X  X  X X+1  0  1  1  1  0  0  1  1 X+1 X+1  X  X X+1  1  1  0  0  0  1  X  1  1  0
 0  0  0  0  0  X  0  0  X  0  X  X  0  X  X  0  X  X  0  X  0  X  X  X  X  0  X  X  0  0  X  0  0  X  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  X  X  X  X  0  X  X  X  0  0  X  X  0  0  X  0  X  0  X  X  X  0
 0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  X  0  X  X  X  0  X  X  X  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 26.

Homogenous weight enumerator: w(x)=1x^0+57x^26+82x^27+214x^28+244x^29+347x^30+406x^31+491x^32+526x^33+623x^34+732x^35+652x^36+816x^37+604x^38+620x^39+506x^40+396x^41+346x^42+194x^43+164x^44+60x^45+65x^46+14x^47+18x^48+6x^49+5x^50+2x^52+1x^58

The gray image is a linear code over GF(2) with n=72, k=13 and d=26.
This code was found by Heurico 1.16 in 3.86 seconds.