The generator matrix

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

generates a code of length 36 over Z2[X]/(X^2) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+60x^29+134x^30+156x^31+125x^32+172x^33+196x^34+140x^35+149x^36+142x^37+184x^38+152x^39+88x^40+114x^41+108x^42+60x^43+18x^44+22x^45+18x^46+4x^47+2x^48+2x^49+1x^52

The gray image is a linear code over GF(2) with n=72, k=11 and d=29.
This code was found by Heurico 1.16 in 0.262 seconds.