The generator matrix

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

generates a code of length 73 over Z2[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+82x^66+195x^68+174x^70+158x^72+100x^74+105x^76+56x^78+47x^80+44x^82+19x^84+16x^86+10x^88+6x^90+9x^92+2x^94

The gray image is a linear code over GF(2) with n=146, k=10 and d=66.
This code was found by Heurico 1.16 in 0.209 seconds.