The generator matrix

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

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+162x^32+66x^34+124x^36+34x^38+62x^40+22x^42+28x^44+6x^46+7x^48

The gray image is a linear code over GF(2) with n=72, k=9 and d=32.
As d=32 is an upper bound for linear (72,9,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 9.
This code was found by Heurico 1.10 in 0.032 seconds.