The generator matrix

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

generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+71x^60+46x^61+174x^62+160x^63+262x^64+302x^65+421x^66+444x^67+585x^68+658x^69+750x^70+870x^71+858x^72+1020x^73+968x^74+1098x^75+1056x^76+1068x^77+873x^78+956x^79+696x^80+678x^81+570x^82+432x^83+380x^84+274x^85+261x^86+126x^87+126x^88+48x^89+56x^90+10x^91+49x^92+2x^93+21x^94+9x^96+1x^98+3x^100+1x^102

The gray image is a linear code over GF(2) with n=150, k=14 and d=60.
This code was found by Heurico 1.16 in 46.4 seconds.