The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+72x^82+838x^83+2456x^84+4000x^85+6981x^86+10776x^87+16488x^88+19590x^89+25508x^90+28538x^91+31049x^92+29060x^93+26498x^94+20418x^95+15629x^96+9956x^97+6740x^98+3776x^99+2095x^100+772x^101+514x^102+206x^103+84x^104+48x^105+20x^106+8x^107+2x^108+12x^109+1x^110+4x^112+2x^113+2x^114

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 831 seconds.