The generator matrix

1 0 0 0 0 1 1 1 X 1 1 0 1 X 1 X 0 1 0 1 X X X 0 1 X X 1 1 0 1 1 X 1 0 1
0 1 0 0 0 0 0 0 0 1 1 1 X X 1 0 X 1 1 X 1 1 1 0 1 0 1 X+1 X X 0 1 1 X+1 1 X+1
0 0 1 0 0 0 1 1 1 0 X X 0 X 1 1 0 X+1 1 X+1 X+1 X+1 0 X 1 1 0 X+1 X 0 X 1 X X X X
0 0 0 1 0 1 0 X+1 1 1 0 X+1 0 1 X 1 X 1 1 X X+1 0 X+1 1 X X X X X 1 1 0 0 0 X X+1
0 0 0 0 1 1 X+1 X 1 X 1 1 0 0 0 X+1 1 1 X 1 0 1 X 1 1 X+1 X+1 X+1 1 X+1 X+1 1 X X+1 X+1 1
0 0 0 0 0 X X 0 0 0 0 X X X X X X X X 0 0 0 0 X 0 0 X X X 0 0 X X X 0 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+64x^29+132x^30+138x^31+165x^32+170x^33+164x^34+150x^35+140x^36+154x^37+153x^38+154x^39+130x^40+110x^41+83x^42+66x^43+40x^44+14x^45+11x^46+4x^47+4x^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 1.10 in 0.157 seconds.