The generator matrix

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

generates a code of length 37 over Z2[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+32x^36+22x^38+5x^40+2x^42+2x^48

The gray image is a linear code over GF(2) with n=74, k=6 and d=36.
As d=36 is an upper bound for linear (74,6,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 6.
This code was found by Heurico 1.16 in 0.00833 seconds.