The generator matrix

 1  0  0  0  1  1  1  1  1  X  1  X  1  1  X  1  X  X  X  1  1  X  1  X  1  1  1  1  1  0  1  X  X  1  1  X  1  0
 0  1  0  0  0  1  X  0 X+1  1  1  1 X+1  0  X  X  1  0  1  0  1  X X+1  X  0  1 X+1  0  0  1  X  1  X  X  0  1  0  0
 0  0  1  0  1  1  1  X  0  1  X  0 X+1  X  1  1  X  X  0 X+1  0  1  X  1  1  1 X+1  1 X+1  0  X X+1  1  0  X  0  0  X
 0  0  0  1  1  0  0  1  X  X X+1  1 X+1  1  1  X  X  1 X+1  X  X X+1 X+1  0 X+1  0  0 X+1  X  1  0  0  0  X X+1  0  X  0
 0  0  0  0  X  0  0  0  0  0  0  X  0  0  X  X  0  X  X  X  X  0  X  X  X  X  X  0  0  0  X  X  0  0  X  0  0  X
 0  0  0  0  0  X  0  0  0  0  0  0  X  X  X  0  X  X  X  X  X  0  0  0  X  0  X  X  X  X  X  X  X  X  X  0  X  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+109x^32+182x^34+190x^36+155x^38+126x^40+109x^42+92x^44+29x^46+24x^48+5x^50+2x^52

The gray image is a linear code over GF(2) with n=76, k=10 and d=32.
This code was found by Heurico 1.16 in 0.0746 seconds.