The generator matrix

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

generates a code of length 99 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+132x^89+992x^90+2520x^91+4490x^92+7404x^93+11541x^94+15874x^95+20696x^96+24494x^97+28007x^98+29404x^99+29133x^100+25102x^101+19999x^102+16188x^103+11054x^104+6768x^105+4086x^106+2152x^107+1223x^108+378x^109+288x^110+110x^111+51x^112+26x^113+7x^114+4x^115+4x^116+6x^118+4x^119+4x^120+2x^122

The gray image is a code over GF(2) with n=792, k=18 and d=356.
This code was found by Heurico 1.16 in 883 seconds.