The generator matrix

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

generates a code of length 36 over Z2[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+10x^32+16x^33+17x^34+24x^35+13x^36+8x^37+11x^38+8x^39+5x^40+8x^41+2x^42+3x^44+1x^50+1x^54

The gray image is a linear code over GF(2) with n=72, k=7 and d=32.
This code was found by Heurico 1.16 in 0.016 seconds.