The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  X  1  1  X  1  1  1  1  X  X  X  X  X  X  X  X  X  X  0  0  0  0  1  1
 0  1  1  0 X+1  1  0 X+1  1  0  1  1  X X+1  1  X X+1  1  X  1  X  1  1  1  0  0  0  X  X  X  0  X  1  1  1  1  0  0
 0  0  X  0  X  0  X  0  X  X  0  X  X  0  X  0  X  0  X  X  0  0  X  0  0  X  X  X  X  0  0  0  0  0  X  X  0  0
 0  0  0  X  X  X  X  0  0  0  X  X  0  X  0  X  0  X  X  X  0  0  X  0  X  X  0  0  X  X  0  0  0  X  X  0  0  0

generates a code of length 38 over Z2[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+15x^36+28x^38+15x^40+2x^42+1x^44+2x^50

The gray image is a linear code over GF(2) with n=76, k=6 and d=36.
This code was found by Heurico 1.16 in 0.00601 seconds.