The generator matrix

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

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+68x^29+154x^30+124x^31+100x^32+148x^33+255x^34+196x^35+70x^36+164x^37+198x^38+132x^39+68x^40+108x^41+144x^42+60x^43+10x^44+24x^45+16x^46+7x^48+1x^50

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 40.6 seconds.