The generator matrix

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

generates a code of length 36 over Z2[X]/(X^2) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+34x^28+85x^32+64x^34+161x^36+64x^38+62x^40+28x^44+11x^48+1x^52+1x^64

The gray image is a linear code over GF(2) with n=72, k=9 and d=28.
This code was found by Heurico 1.16 in 0.031 seconds.