The generator matrix

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

generates a code of length 94 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+866x^86+2184x^87+3710x^88+6316x^89+8254x^90+10772x^91+12239x^92+13980x^93+14760x^94+14284x^95+12608x^96+10784x^97+7744x^98+5488x^99+3435x^100+1888x^101+864x^102+456x^103+225x^104+116x^105+38x^106+28x^107+18x^108+4x^109+2x^110+4x^111+4x^112

The gray image is a code over GF(2) with n=752, k=17 and d=344.
This code was found by Heurico 1.16 in 791 seconds.