The generator matrix

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

generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+286x^84+616x^85+920x^86+1272x^87+1632x^88+1632x^89+2119x^90+2040x^91+2507x^92+2194x^93+2651x^94+2348x^95+2496x^96+1908x^97+2115x^98+1562x^99+1383x^100+972x^101+777x^102+516x^103+377x^104+204x^105+104x^106+68x^107+20x^108+18x^109+16x^110+2x^112+8x^113+2x^114+2x^115

The gray image is a linear code over GF(2) with n=376, k=15 and d=168.
This code was found by Heurico 1.16 in 64.3 seconds.