The generator matrix

 1  0  0  0  1  1  1  X  1  1  0  0  X  1  1  X  1  0  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  X  1
 0  1  0  0  X  X  X  0 X+1  1  1  1  1  1 X+1  1 X+1  1  0  0  0  X  1 X+1  1 X+1 X+1  X  1 X+1  0  X  1 X+1  0  0
 0  0  1  0  0 X+1  1  1  0  X  1 X+1  X  1  1  0  X  X  X  X  0  0 X+1 X+1 X+1 X+1  0  0  0  1 X+1 X+1  1  X  X  0
 0  0  0  1  1 X+1  0  1  X X+1 X+1  X  1  X X+1  0  1  1  X  0 X+1  1  0 X+1  X  1  0  X  1  0  X  X  0 X+1  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+37x^32+52x^33+19x^34+18x^35+18x^36+32x^37+32x^38+12x^39+4x^40+6x^41+8x^42+2x^43+2x^44+4x^45+4x^46+2x^48+2x^49+1x^50

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 0.00911 seconds.