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

generates a code of length 68 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+31x^60+36x^62+8x^63+38x^64+40x^65+20x^66+80x^67+25x^68+80x^69+26x^70+40x^71+20x^72+8x^73+22x^74+7x^76+15x^78+5x^80+6x^82+1x^84+2x^86+1x^126

The gray image is a linear code over GF(2) with n=136, k=9 and d=60.
This code was found by Heurico 1.16 in 0.11 seconds.