The generator matrix

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

generates a code of length 72 over Z2[X]/(X^2) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+16x^73+6x^74+6x^76+2x^78+1x^80

The gray image is a linear code over GF(2) with n=144, k=5 and d=73.
As d=73 is an upper bound for linear (144,5,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 5.
This code was found by Heurico 1.16 in 0.0589 seconds.