The generator matrix

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

generates a code of length 76 over Z2[X]/(X^2) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+55x^62+122x^63+232x^64+276x^65+376x^66+436x^67+513x^68+630x^69+658x^70+754x^71+836x^72+896x^73+898x^74+958x^75+983x^76+992x^77+984x^78+954x^79+873x^80+780x^81+736x^82+600x^83+457x^84+398x^85+291x^86+230x^87+159x^88+112x^89+79x^90+38x^91+29x^92+12x^93+11x^94+4x^95+10x^96+6x^98+2x^100+1x^102+1x^104+1x^106

The gray image is a linear code over GF(2) with n=152, k=14 and d=62.
This code was found by Heurico 1.16 in 87 seconds.