The generator matrix

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

generates a code of length 93 over Z2[X]/(X^2) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+44x^75+153x^76+242x^77+400x^78+688x^79+815x^80+1024x^81+1225x^82+1456x^83+1693x^84+1962x^85+2259x^86+2466x^87+2794x^88+3020x^89+3285x^90+3432x^91+3566x^92+3690x^93+3778x^94+3650x^95+3366x^96+3330x^97+3072x^98+2664x^99+2416x^100+1906x^101+1641x^102+1374x^103+1020x^104+930x^105+633x^106+484x^107+340x^108+228x^109+176x^110+110x^111+76x^112+46x^113+41x^114+16x^115+15x^116+4x^117+2x^118+2x^121+1x^140

The gray image is a linear code over GF(2) with n=186, k=16 and d=75.
This code was found by Heurico 1.11 in 334 seconds.