The generator matrix

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

generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+213x^84+116x^85+668x^86+336x^87+1056x^88+324x^89+882x^90+292x^91+991x^92+332x^93+728x^94+284x^95+616x^96+148x^97+450x^98+92x^99+300x^100+96x^101+136x^102+20x^103+66x^104+8x^105+10x^106+15x^108+4x^110+5x^112+2x^114+1x^116

The gray image is a linear code over GF(2) with n=368, k=13 and d=168.
This code was found by Heurico 1.16 in 5.15 seconds.