The generator matrix

 1  0  0  0  1  1  1  X  1  1  1  X  0  0  1  1  1  0  X  1  1  1  X  1  1  X  0  1  1  0  1  1  1  1  X  1  1  1
 0  1  0  0  0  0  0  0  X X+1  1  1  1  1 X+1  1  1  X  1  X X+1 X+1  X  0  1  X  1  1  X  1  1 X+1  1 X+1  1 X+1  X  0
 0  0  1  0  0  1 X+1  1  0  0  X  0  1 X+1 X+1 X+1  X  1  X  1  X  0  1  1  0  1  0  1  1  0 X+1  X  X  X  1 X+1  1 X+1
 0  0  0  1  1 X+1  0 X+1  0  X X+1  1  1  X X+1  X X+1  X  X  X  1  X  1  1  X  X  0  0  1 X+1  1  1  X  0  0 X+1  0  1
 0  0  0  0  X  X  X  0  X  X  X  0  0  0  X  X  0  X  X  0  X  0  0  0  0  X  X  0  X  0  X  0  0  X  X  0  0  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+153x^34+75x^36+128x^38+36x^40+66x^42+12x^44+24x^46+3x^48+13x^50+1x^52

The gray image is a linear code over GF(2) with n=76, k=9 and d=34.
As d=34 is an upper bound for linear (76,9,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 9.
This code was found by Heurico 1.16 in 58.3 seconds.