The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  X  0  X  X  1  1  X  1  X  1  1  0  1  X  0  1  X  1  1  1  1  1  X  1
 0  1  0  0  0  1  1  1  0  X X+1 X+1  1  1  X  1  0  1  0 X+1  1  0  X  1  1  1  X  0  1  0 X+1  X X+1  1  1  0
 0  0  1  0  1  1  0  1  0  1  1  X  0 X+1  1  0 X+1  X  1 X+1  1  0  0 X+1 X+1  X  1  0  X  1 X+1  X X+1  X  X  0
 0  0  0  1  1  0  1  1  1  0 X+1  X  1  0  1  1  1 X+1  1  X  0  0  1 X+1  1  X  X  X  1  X X+1  1  0 X+1  1  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  0  X  0  0  X  X  0  X  X  0  0  X
 0  0  0  0  0  X  0  0  0  0  0  0  X  X  0  X  0  0  0  X  X  X  0  X  0  0  X  0  0  X  X  0  X  0  X  X
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  X  0  X  X  0  X  X  0  0  X  X  0  X  0  X  X  X  X  0  0  X  0
 0  0  0  0  0  0  0  X  0  0  X  0  X  X  0  0  X  X  X  0  X  0  X  X  0  0  0  X  0  X  X  X  0  X  0  0
 0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  0  0  X  0  X  X  X  0  X  0  X  0  X  X  0  X  0  0  X  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+64x^27+189x^28+228x^29+319x^30+424x^31+475x^32+580x^33+653x^34+732x^35+707x^36+764x^37+642x^38+604x^39+512x^40+428x^41+325x^42+212x^43+143x^44+48x^45+47x^46+12x^47+20x^48+4x^50+1x^52+1x^66

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 3.88 seconds.