The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  1  1  X X^2+X  0  1  X  X X^2  1  1  1  X  1  1  1 X^2+X X^2 X^2+X  1  1  1  1  0 X^2  X  1 X^2  X X^2  1 X^2  1  1  1  0  0  0  1 X^2  1  X  X  0  1  1  0 X^2  1  X  1 X^2+X X^2  1  1  0 X^2+X  0 X^2+X  1  X X^2  1  1 X^2  1  0  1 X^2+X  1  1  1  X  1  1  1  0  1  1 X^2  X  1 X^2  1  1 X^2  1  1
 0  1  0  0  0  0  0  0 X^2  1  1 X^2+1  1  1  1  1 X^2+X X^2+X  1  X  X X^2+X+1  1 X^2+X X^2+X+1 X^2+X  X  1  1  1 X+1 X+1 X^2  X  X  1  X X+1  0 X^2  1  X  X  X X^2+X+1 X^2  1  1  1 X^2  0 X^2+X+1  1  0 X^2  X X^2+X+1  1  X  1  1  1  1  1 X^2  0  1  X  1  X X^2  1  1 X^2+X+1  1  1 X^2+1  1 X^2+X+1 X^2+X  0 X^2+1 X^2+X+1  X X^2  1 X^2  1  0  X  0  1 X^2  1 X+1 X^2  0  X  0
 0  0  1  0  0  0  1  1  1  1 X^2+1 X^2  X X^2+1 X^2+1 X^2 X^2  0 X^2+X+1  1  1 X+1 X^2+X  1  X X^2+X+1 X^2  0 X^2+1  0 X+1 X^2+1 X^2+X+1 X^2+1  X  1  1 X^2+1  1  X X+1 X+1 X^2+X  X X^2+X  0 X+1  0 X^2 X+1  X X^2+1 X^2+X  1  1  X  X  1  1 X+1 X^2+X+1 X^2+X+1 X+1 X^2+X+1  0 X+1 X^2  1 X^2+1  1  X  X X+1 X^2+X  1 X^2+X X^2+X X^2 X+1  0 X+1 X+1  0  1 X^2 X+1  X  1 X^2+X+1 X+1  0  0 X^2+X  1  X  0  1  1  0
 0  0  0  1  0  1  1 X^2 X^2+1 X^2 X^2+1  1 X^2 X+1 X^2+X X+1 X+1  1 X^2  X  X X^2 X+1 X^2+X+1  X X^2+1  X  1 X^2+1 X^2  1  0 X^2+X  X  X  0 X^2+1 X^2 X^2+X+1  1  1 X^2+1  1 X+1  X X+1 X^2+X X^2  X X+1  1  1  1 X^2+1 X^2  0 X^2 X+1 X^2 X^2 X+1  0  X X+1 X+1  1  1  1 X+1  X  X X^2+X  X X+1 X^2+X  X  X X^2+X X^2+1  1 X^2  1 X^2+X+1 X^2+1 X^2 X^2+X+1  1 X^2 X^2  1  1  X X^2+X+1  1 X+1  X  1 X+1  0
 0  0  0  0  1  1 X^2 X^2+1 X^2+1  0  1  0 X+1 X^2 X^2+1 X^2+X+1  0 X^2+1  0 X^2+1 X^2 X^2+X+1 X^2+1  X  X X^2+X+1 X^2+X+1  X X^2+X+1 X^2+1  X X^2+X+1 X^2+1 X^2+X  1 X^2+X+1 X^2+X+1  X  X  X  1  1 X+1 X^2+X X^2  1  X  X X^2+X+1 X^2 X^2+X  X  1 X^2+X X^2+X+1  X  1 X+1 X^2+X X^2+X+1  X X^2  0 X+1  0  X  0 X+1 X^2+X  1  0  0 X^2+1 X+1 X^2+1 X^2 X^2+X X^2 X^2+1 X^2+X  0 X^2+1 X+1  0  1 X^2 X^2+X  1  1  0 X^2+X X^2+X+1 X^2 X^2 X^2+X X^2+X  0 X^2+1 X^2
 0  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0 X^2  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0  0 X^2  0  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2

generates a code of length 99 over Z2[X]/(X^3) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+118x^87+483x^88+754x^89+1210x^90+1744x^91+2567x^92+2714x^93+3394x^94+3746x^95+4272x^96+4374x^97+4849x^98+4912x^99+5204x^100+4562x^101+4481x^102+3698x^103+3301x^104+2566x^105+2269x^106+1492x^107+1083x^108+708x^109+447x^110+254x^111+161x^112+62x^113+48x^114+30x^115+14x^116+4x^117+6x^118+4x^119+2x^120+2x^123

The gray image is a linear code over GF(2) with n=396, k=16 and d=174.
This code was found by Heurico 1.13 in 84.9 seconds.