The generator matrix

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

generates a code of length 72 over Z2[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+206x^66+115x^68+260x^70+74x^72+130x^74+30x^76+94x^78+13x^80+54x^82+15x^84+12x^86+8x^88+10x^90+2x^94

The gray image is a linear code over GF(2) with n=144, k=10 and d=66.
This code was found by Heurico 1.16 in 90.6 seconds.