The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  1  1  1  1  1  X  1  X  X  X  1  X  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  0  0  X  X  X  X  X  0  X  0  X  X  X  0
 0  0  X  0  0  0  0  0  0  0  0  0  X  0  0  X  X  X  X  X  X  0  0  0  0  0  0  0  X  X  0  X  X  0  0  X
 0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  0  X  X  X  X  X  0  X  X  X  0  0  0  0  X  0  X  0  0
 0  0  0  0  X  0  0  0  0  0  0  X  0  X  X  0  X  X  X  0  X  0  X  0  0  X  X  0  X  0  X  0  0  0  X  0
 0  0  0  0  0  X  0  0  0  0  0  X  0  0  X  X  X  X  X  0  0  X  0  X  0  X  0  X  0  0  X  X  X  X  X  0
 0  0  0  0  0  0  X  0  0  0  X  0  0  0  X  X  0  0  X  0  0  0  X  X  0  X  X  0  X  0  X  X  0  X  X  X
 0  0  0  0  0  0  0  X  0  0  X  0  0  X  0  0  X  0  0  X  0  0  X  X  0  X  0  X  X  X  X  X  X  X  0  X
 0  0  0  0  0  0  0  0  X  0  X  X  X  X  0  0  0  0  X  0  0  X  X  0  X  0  X  X  0  0  X  0  0  X  X  X
 0  0  0  0  0  0  0  0  0  X  X  X  X  0  0  X  X  X  X  X  0  0  X  X  X  0  0  X  X  0  X  0  0  0  0  X

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+47x^26+94x^28+8x^29+101x^30+56x^31+114x^32+168x^33+113x^34+280x^35+105x^36+280x^37+106x^38+168x^39+106x^40+56x^41+102x^42+8x^43+72x^44+33x^46+19x^48+9x^50+1x^52+1x^58

The gray image is a linear code over GF(2) with n=72, k=11 and d=26.
This code was found by Heurico 1.16 in 0.778 seconds.