The generator matrix

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

generates a code of length 98 over Z2[X]/(X^3) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+118x^85+456x^86+1074x^87+1608x^88+2476x^89+3211x^90+4338x^91+5181x^92+6462x^93+7261x^94+9014x^95+9014x^96+10240x^97+9798x^98+10454x^99+9401x^100+8924x^101+7428x^102+6816x^103+5047x^104+4286x^105+3099x^106+2124x^107+1282x^108+842x^109+467x^110+258x^111+162x^112+112x^113+48x^114+26x^115+16x^116+6x^117+8x^118+6x^119+6x^121+2x^123

The gray image is a linear code over GF(2) with n=392, k=17 and d=170.
This code was found by Heurico 1.13 in 323 seconds.