The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  X  X  X  1  1  0  1  1  X  X  1  X  X  1  0  X  0  0  0  0  X
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  0  X  X  X  X  X  X  0  X  X  X  X  0  X  0  0  X  0  0  0  X  X  X  0  0
 0  0  X  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  0  X  X  0  0  X  X  X  X  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  0  X  0  0  0  0  X  X  0  0  0  X  X  0  X  0  0  X  0  X  X  0  X  0
 0  0  0  X  0  0  0  X  X  X  X  X  0  X  X  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  0  0  0  0  X  X  X  X  X  X  X  X  0  0  0  0  0  0  X  0  0  0  X  0  X  X  X  X  0  X  0  0  X  0  0  0  X  X  0  X  X
 0  0  0  0  X  0  X  X  X  0  0  0  0  X  X  X  X  0  0  0  X  X  X  X  X  X  0  0  0  0  X  X  0  0  X  X  X  X  0  0  0  0  X  X  0  0  X  X  X  X  X  X  0  0  0  X  X  X  0  0  0  0  0  0  X  0  0  X  0  X  0  0  X
 0  0  0  0  0  X  X  0  X  X  0  X  X  X  0  0  X  0  X  X  X  0  0  X  0  X  X  0  0  X  X  0  0  X  X  0  0  X  X  0  0  X  X  0  0  X  X  0  0  0  0  X  X  0  X  X  X  0  0  X  X  X  0  0  X  X  X  0  X  0  0  0  0

generates a code of length 73 over Z2[X]/(X^2) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+42x^70+53x^72+20x^78+6x^80+2x^86+3x^88+1x^112

The gray image is a linear code over GF(2) with n=146, k=7 and d=70.
This code was found by Heurico 1.16 in 3.21 seconds.