The generator matrix

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

generates a code of length 37 over Z2[X]/(X^2) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+6x^38+7x^40+2x^42

The gray image is a linear code over GF(2) with n=74, k=4 and d=38.
This code was found by Heurico 1.16 in 0.00497 seconds.