The generator matrix

 1  0  0  1  1  1  0  1  1  1  0  1  X  0  1  1  1  X  0  1  0  0  X  1  1  1  1  1  1  0  1  1  1  1  1  1
 0  1  0  1  0  1  1  0  0  1  1 X+1  1  0  0  X  1  1  0 X+1  1  0  1  0  X  1 X+1  0 X+1  1  1  0  X  1 X+1 X+1
 0  0  1  1  1  0  1  0  1  1  X  0 X+1  1  0  1  1  1  1  0  0  1  X  0  1  1  X X+1 X+1  X  X  X  1  X  0  0
 0  0  0  X  0  0  0  0  0  0  X  X  X  0  0  0  0  X  0  X  X  X  0  X  0  0  X  0  0  X  X  X  X  X  0  0
 0  0  0  0  X  0  0  0  0  0  X  X  0  X  0  0  0  0  X  0  0  X  X  0  0  X  0  X  X  X  X  X  0  0  X  X
 0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  0  X  X  X  X  0  0  X  X  0  0  X  X  X  0  X  X  X  0  0  X
 0  0  0  0  0  0  X  0  0  0  0  0  X  0  X  X  X  X  X  0  X  X  0  X  X  0  X  X  X  X  0  X  X  0  X  0
 0  0  0  0  0  0  0  X  0  0  0  X  X  X  X  0  0  0  X  0  X  0  X  X  0  0  0  X  0  X  X  0  X  X  0  0
 0  0  0  0  0  0  0  0  X  0  X  X  0  X  X  X  0  X  X  0  X  0  0  0  0  X  X  0  X  X  X  X  X  X  X  0
 0  0  0  0  0  0  0  0  0  X  X  X  X  0  X  X  X  0  X  0  0  X  X  0  0  0  X  0  0  0  0  X  X  X  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+12x^25+79x^26+68x^27+170x^28+186x^29+317x^30+390x^31+501x^32+592x^33+597x^34+768x^35+724x^36+828x^37+682x^38+628x^39+480x^40+372x^41+311x^42+172x^43+146x^44+58x^45+57x^46+22x^47+26x^48+4x^50+1x^66

The gray image is a linear code over GF(2) with n=72, k=13 and d=25.
This code was found by Heurico 1.16 in 4.1 seconds.