The generator matrix

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

generates a code of length 37 over Z2[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+213x^32+188x^34+186x^36+68x^38+168x^40+100x^42+68x^44+28x^46+2x^48+2x^52

The gray image is a linear code over GF(2) with n=74, k=10 and d=32.
As d=32 is an upper bound for linear (74,10,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 10.
This code was found by Heurico 1.16 in 0.167 seconds.