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  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  0  0  0  0  X  X  0  X  X  0  0  X  X  X  X  0  0  0  0  X  X
 0  0  X  0  0  0  X  X  X  X  X  0  X  X  0  0  0  0  0  0  X  X  0  X  X  0  X  X  X  X  0  0  0  0  0  X  X  0
 0  0  0  X  0  X  X  X  0  0  0  0  X  X  X  X  0  0  X  X  X  0  X  X  X  0  0  0  0  X  X  0  0  0  X  X  0  0
 0  0  0  0  X  X  0  X  X  0  X  X  X  0  0  X  0  X  X  0  0  0  0  X  X  0  X  0  X  0  X  X  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+32x^38+15x^40+1x^76

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 0.00618 seconds.