The generator matrix

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

generates a code of length 92 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+95x^82+862x^83+2128x^84+4490x^85+7018x^86+10206x^87+16145x^88+20988x^89+25015x^90+29158x^91+29525x^92+29510x^93+26258x^94+21012x^95+15117x^96+10586x^97+6766x^98+3482x^99+2017x^100+954x^101+364x^102+272x^103+81x^104+40x^105+18x^106+14x^107+8x^108+6x^109+2x^110+2x^111+2x^112+2x^113

The gray image is a code over GF(2) with n=736, k=18 and d=328.
This code was found by Heurico 1.16 in 799 seconds.