The generator matrix

 1  0  0  0  1  1  1  1 X^3+X  1 X^2+X  1  1  X X^3  1  1 X^2+X X^2+X  1  1  0  X  1  1 X^2  1 X^3+X^2+X  1  X  1  1  1  1  1 X^3+X^2 X^2+X  1  1  X X^3+X^2 X^3 X^2+X X^2  1  X  1  1  0  1 X^2+X  1  0  1 X^3+X^2+X X^2+X  1  X  1 X^2+X  1  1 X^3+X^2+X X^2+X  1  1  1  0  1 X^3+X^2+X  0 X^3 X^3+X^2  1  1  1  1  1  1 X^3+X^2  0 X^3+X^2  1  1 X^3+X  1  1 X^3+X X^3+X^2+X  1  1  1
 0  1  0  0  0 X^3+X^2+1 X^3 X^3+X^2+X+1  1 X^3+X^2 X^3+X^2 X^2+1 X^3+X+1  1  1 X^3+X^2+X X^3+1 X^3+X^2+X  1 X+1  1  1 X^3+X^2 X^3+X^2 X^3+X^2+X+1  1 X^3+X X^3+X^2+X X^3+X^2+X  1 X^2+1  1 X^3+X X^2+X X^3  1  1 X^3+X^2+1 X^2  X  1  1 X^3+X^2+X  X X^3+X+1  0 X^3+X^2+1 X^2+X X^3+X  1  1 X^3+X^2+X  1  0  1  1 X^2+1  1 X^2  1 X^3  X  1 X^3 X^3+X^2 X^3+1 X^3+X^2+1  1 X^2+X+1  1  1  1  X X^3+X+1 X^3+X^2 X^2+X+1 X^3+X  0 X^3+X  0 X^3  1  1 X^3  0 X^3+X^2+X+1 X^3  1  1  X X^3+X X^2+1
 0  0  1  0 X^2 X^3+X^2 X^3+X^2+1  1 X^3+X^2+X+1 X^3+1  1 X^2+1 X^2+X X^2+X X^2+1 X^3 X^3+X^2  1  X X^2+1 X^2+1 X^3+X+1  1 X+1  X X^3+X+1  X X^3+X^2 X+1 X^3+X X^3+X X^2+X X^3+X^2+X X^3+X^2+X+1 X+1 X^2+X X^3+X^2+1 X^2+X+1 X^3+X^2+X X^3+X^2+X X+1 X^2  1  1 X+1  1 X^3+X+1 X^2 X^2 X^3 X^3+X^2+X+1 X^3+1  1 X^3+X^2+1  0  1 X^2+1 X^2 X+1 X^3+1 X^3+X X+1 X^2 X^3 X^3+X^2+X X^3+X^2+1 X^3 X^3+X^2+X X^2+X+1 X^3+X^2+X+1 X+1  X  1 X^2 X^3+X^2+X+1 X^3+X X^3+X X^3 X^3+X^2+X+1 X^3+X  1 X^3+X^2  0 X^3+X^2+1  1  0 X^3 X^3+X X^3+X+1  1 X^3+1  X
 0  0  0  1 X^2+X+1 X^3+X+1 X+1 X^3+X^2+X+1  X X^2+X X+1 X^2+X X^2 X+1 X^3+1 X^3+X^2+X X^2 X^3  0 X^3+1 X^3  X X^3+X^2+1 X^3+1 X^3+X+1  1 X^3+X^2+1  1  X X^3+1  0 X^3+X^2+X+1 X^3+X^2+X X^2+X+1  0  0 X^3+X^2+X X^3+X^2+X  X  1 X^3+X+1 X^3+X^2+1 X+1 X^3+X^2 X^3+X^2+1 X^3+X X^2+1 X^3+1  1 X^2+1 X^2+1 X^3+X^2+X+1 X^3+X+1 X^2+X X^3+X^2+X+1  0 X^3 X^3+1 X^3+X+1 X^2+X+1 X^2+1 X^2 X^3+X  1 X^3+X+1 X^3+X^2+X X^3+X  X X^2+X+1  0 X^3+X^2+X X^3+X^2+1 X^3+X X+1 X^3+X^2  X X^3+X^2+X+1 X^2+X X^3+X+1  1 X^3+X^2+X+1  X X^3+X^2 X^2+X+1  0 X^2+X X^3+X+1 X^3 X^3+X^2+X X^3 X^2 X^3+X^2+X
 0  0  0  0 X^3 X^3 X^3 X^3  0 X^3  0 X^3 X^3  0  0 X^3 X^3  0  0 X^3 X^3  0  0 X^3 X^3  0 X^3  0 X^3  0 X^3 X^3 X^3 X^3 X^3  0  0 X^3 X^3  0  0  0 X^3 X^3  0 X^3  0  0 X^3  0 X^3  0 X^3  0 X^3 X^3  0 X^3  0 X^3  0  0 X^3 X^3  0  0  0 X^3  0 X^3 X^3  0 X^3  0 X^3  0  0  0  0  0 X^3 X^3  0  0  0 X^3  0 X^3 X^3 X^3  0 X^3

generates a code of length 92 over Z2[X]/(X^4) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+782x^84+1998x^85+3987x^86+5616x^87+8406x^88+10532x^89+13260x^90+13622x^91+15250x^92+14106x^93+13115x^94+10334x^95+7925x^96+5114x^97+3582x^98+1582x^99+1003x^100+490x^101+186x^102+58x^103+66x^104+30x^105+12x^106+4x^107+7x^108+2x^109+2x^110

The gray image is a linear code over GF(2) with n=736, k=17 and d=336.
This code was found by Heurico 1.16 in 247 seconds.