The generator matrix

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

generates a code of length 76 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+65x^60+170x^62+345x^64+626x^66+982x^68+1438x^70+1594x^72+1926x^74+2059x^76+2006x^78+1720x^80+1292x^82+1004x^84+540x^86+322x^88+150x^90+76x^92+36x^94+18x^96+6x^98+5x^100+2x^102+1x^116

The gray image is a linear code over GF(2) with n=152, k=14 and d=60.
This code was found by Heurico 1.16 in 49.3 seconds.