The generator matrix

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

generates a code of length 38 over Z2[X]/(X^2) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+19x^34+64x^35+38x^36+32x^38+38x^39+16x^40+8x^42+22x^43+4x^44+4x^46+2x^47+3x^48+1x^50+2x^51+2x^52

The gray image is a linear code over GF(2) with n=76, k=8 and d=34.
This code was found by Heurico 1.16 in 0.0113 seconds.