The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  0  0  0  0  0  0  X  X  X  X  0  0  0  0  X  X  0  0  X  X  0  0  X  X  X  X  0  0  0  0  X  X  X
 0  0  X  0  0  0  0  0  X  X  X  0  X  0  X  0  X  X  0  0  0  0  0  X  X  X  0  X  0  0  0  X  X  X  X  0
 0  0  0  X  0  0  0  0  X  0  X  X  X  0  0  X  X  0  0  0  X  X  0  X  0  0  X  X  0  0  X  X  0  0  X  X
 0  0  0  0  X  0  0  0  X  X  0  X  0  X  0  X  0  0  X  X  X  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X
 0  0  0  0  0  X  0  X  0  0  X  X  0  X  0  0  X  0  X  X  X  0  0  X  X  X  0  X  0  0  0  X  X  0  0  X
 0  0  0  0  0  0  X  X  0  0  0  X  X  0  X  0  X  X  0  X  0  0  X  0  X  0  0  X  X  X  X  0  0  X  X  0

generates a code of length 36 over Z2[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+63x^32+128x^36+63x^40+1x^72

The gray image is a linear code over GF(2) with n=72, k=8 and d=32.
As d=32 is an upper bound for linear (72,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8.
This code was found by Heurico 1.16 in -1.07e-007 seconds.