The generator matrix

 1  0  0  0  0  1  1  1  1  X  1  1  1  1  1  1  1  0  X  X  0  1  0  0  X  X  0  0  1  1  X  0  1  0  X  1  0  1
 0  1  0  0  0  X  X  1  X  0  1 X+1  X  0 X+1 X+1  1  X  X  1  1  1  1  1  1  0  1  1 X+1 X+1  1  1  0  0  1 X+1  0  1
 0  0  1  0  0  0  0  0  X  0  X  X X+1 X+1 X+1  1  1  1  1 X+1  X  X  1  0 X+1  1 X+1  1  0  1  1  1  X  1  1  0  1  0
 0  0  0  1  0  0 X+1  X X+1  1  1  X  1 X+1  0  X X+1  X X+1  0  1 X+1 X+1 X+1  X  X  X  X  X X+1  0  1  0 X+1  1  1  1 X+1
 0  0  0  0  1  1 X+1  1  0  1  1  0  0  1 X+1  X  0 X+1  1  1  X  X  X  1  0  X  0  1  1  1  0  0  X  1  0  X  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+85x^32+190x^34+236x^36+128x^38+139x^40+90x^42+89x^44+36x^46+23x^48+4x^50+3x^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 0.0714 seconds.