The generator matrix

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

generates a code of length 95 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+132x^86+1066x^87+2310x^88+4074x^89+5868x^90+8156x^91+10149x^92+12642x^93+13918x^94+14682x^95+14044x^96+13038x^97+10110x^98+8220x^99+5424x^100+3250x^101+1928x^102+1072x^103+443x^104+264x^105+131x^106+68x^107+45x^108+28x^109+8x^110+1x^130

The gray image is a code over GF(2) with n=760, k=17 and d=344.
This code was found by Heurico 1.16 in 230 seconds.