The generator matrix

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

generates a code of length 92 over Z2[X]/(X^4) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+242x^85+966x^86+1656x^87+2500x^88+2426x^89+3614x^90+3546x^91+3872x^92+3340x^93+3300x^94+2404x^95+1897x^96+1202x^97+778x^98+414x^99+358x^100+78x^101+66x^102+32x^103+36x^104+8x^105+12x^106+12x^107+6x^108+2x^112

The gray image is a linear code over GF(2) with n=736, k=15 and d=340.
This code was found by Heurico 1.16 in 20.7 seconds.