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

generates a code of length 38 over Z2[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+98x^32+30x^34+86x^36+70x^38+136x^40+26x^42+31x^44+2x^46+29x^48+2x^52+1x^60

The gray image is a linear code over GF(2) with n=76, k=9 and d=32.
This code was found by Heurico 1.16 in 10 seconds.