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

generates a code of length 93 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+108x^83+940x^84+2396x^85+4204x^86+7158x^87+10781x^88+15626x^89+20015x^90+26254x^91+28040x^92+30592x^93+28719x^94+26434x^95+20674x^96+15862x^97+10103x^98+6614x^99+3752x^100+1988x^101+976x^102+494x^103+216x^104+76x^105+72x^106+22x^107+8x^108+4x^109+1x^110+2x^111+2x^112+4x^114+2x^115+2x^116+2x^118

The gray image is a code over GF(2) with n=744, k=18 and d=332.
This code was found by Heurico 1.16 in 813 seconds.