The generator matrix

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

generates a code of length 37 over Z2[X]/(X^2) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+87x^34+97x^36+7x^38+7x^40+31x^42+21x^44+1x^46+2x^50+2x^52

The gray image is a linear code over GF(2) with n=74, k=8 and d=34.
As d=34 is an upper bound for linear (74,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8.
This code was found by Heurico 1.16 in 2.67 seconds.