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

generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+144x^60+371x^64+6x^66+562x^68+146x^70+917x^72+636x^74+1462x^76+868x^78+1262x^80+350x^82+700x^84+42x^86+412x^88+214x^92+73x^96+22x^100+3x^104+1x^128

The gray image is a linear code over GF(2) with n=154, k=13 and d=60.
This code was found by Heurico 1.16 in 37.6 seconds.