The generator matrix

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

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+56x^34+59x^36+46x^38+51x^40+18x^42+13x^44+6x^46+4x^48+2x^58

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 0.0907 seconds.