The generator matrix

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

generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+200x^84+456x^85+686x^86+792x^87+1050x^88+1084x^89+1131x^90+1394x^91+1208x^92+1122x^93+1160x^94+1166x^95+994x^96+958x^97+726x^98+620x^99+531x^100+330x^101+334x^102+164x^103+123x^104+78x^105+25x^106+18x^107+19x^108+4x^109+6x^111+2x^114+2x^116

The gray image is a linear code over GF(2) with n=372, k=14 and d=168.
This code was found by Heurico 1.13 in 6.03 seconds.