The generator matrix

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

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+98x^34+43x^36+62x^38+15x^40+20x^42+5x^44+6x^46+6x^50

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 0.119 seconds.