The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  X  1  1  0  0  1  1  1  1  0  1  X  1  1  0  X  1  1  1  1  1  1  1  1  0  0  X  1  1  1  1  0  1  1  1  0  X  1  1  X  1  1  0  1  1  0  X  X  1  1  1  1  0  X  X  1  1  X  0  X  X  0  0  1  1
 0  1  1  0  1  1  0  1  1  0  1  1  X X+1  1  1  0 X+1  0 X+1  1  0  1 X+1  X  1  1 X+1  0 X+1  0 X+1  0  X  1  1  1  1  0 X+1 X+1 X+1  1  1  0 X+1  1  1 X+1  1  1  X  X  1  0  0  1  0  1  0  X  1  1  1  X  1 X+1 X+1  1  1  0  X  1  1  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  0  0  0  X  X  X  X  X  X  X  X  0  X  0  0  X  X  X  X  X  X  0  0  0  X  X  0  X  0  X  X  X  X  X  0  0  X  0  X  0  0  X  0  0  0  X  0  0  0  X  X  0
 0  0  0  X  0  0  0  0  0  0  0  0  X  0  0  0  0  X  0  X  0  0  0  0  0  X  X  X  X  X  0  0  0  X  X  X  0  X  X  X  0  0  X  0  X  X  0  X  0  X  X  0  0  X  X  X  0  X  0  X  X  X  0  0  X  X  0  X  0  0  0  X  0  X  X  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  X  0  X  X  X  X  0  0  X  X  0  X  X  0  X  X  0  X  X  X  X  X  0  0  0  X  0  0  X  0  0  0  X  X  0  0  X  X  X  0  0  0  0  0  0  0  X  X  X  0  X  X  X  0  0  X  X  0  X  X  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  X  X  X  0  X  X  X  0  X  0  X  0  0  0  0  0  0  0  X  X  X  X  0  0  X  X  0  X  X  X  0  X  X  0  X  X  X  0  X  0  0  X  0  0  0  0  0  X  0  X  X  0  X  0  0  X  X  0  0  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  X  0  X  0  X  0  0  X  0  X  X  X  0  0  X  X  0  X  X  0  X  0  0  0  X  X  X  X  0  0  0  0  X  0  X  0  X  0  X  X  0  0  X  0  0  0  0  0
 0  0  0  0  0  0  0  X  0  0  0  0  0  X  X  0  X  X  X  0  X  X  0  0  X  0  0  X  X  X  X  0  0  X  0  X  0  0  0  X  0  0  0  X  0  X  0  X  X  X  0  X  X  X  0  0  0  X  0  0  0  0  X  X  X  X  0  X  0  X  0  0  X  X  0  0
 0  0  0  0  0  0  0  0  X  0  0  X  0  0  X  0  0  X  X  X  0  X  X  0  X  X  0  0  0  X  X  X  0  0  X  X  X  X  X  X  0  X  X  X  X  X  0  0  X  X  X  0  0  0  X  0  0  X  X  0  0  X  0  0  0  0  0  X  X  X  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  X  0  0  X  0  X  X  X  X  0  0  X  X  X  0  0  0  X  X  0  X  X  0  X  X  0  X  X  X  X  X  X  X  X  X  0  0  0  X  0  X  0  0  0  X  X  0  0  0  X  0  0  0  0  0  0  X  X  0  X  0  0  X  X  0  0  0
 0  0  0  0  0  0  0  0  0  0  X  0  0  X  X  X  0  X  0  X  X  0  X  X  0  X  0  0  X  X  X  X  0  X  X  X  X  0  X  X  X  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  0  0  X  0  X  X  X  0  0  X  X  0  0  X  X  X  0  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+25x^60+4x^61+83x^62+22x^63+149x^64+80x^65+198x^66+152x^67+263x^68+282x^69+337x^70+454x^71+375x^72+530x^73+438x^74+552x^75+454x^76+520x^77+408x^78+482x^79+369x^80+436x^81+304x^82+312x^83+231x^84+186x^85+170x^86+66x^87+113x^88+10x^89+78x^90+8x^91+48x^92+25x^94+17x^96+6x^98+2x^100+1x^102+1x^108

The gray image is a linear code over GF(2) with n=152, k=13 and d=60.
This code was found by Heurico 1.16 in 14.4 seconds.