The generator matrix

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

generates a code of length 92 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+249x^86+812x^87+1304x^88+1806x^89+1700x^90+2034x^91+1719x^92+1776x^93+1480x^94+1148x^95+756x^96+542x^97+401x^98+330x^99+130x^100+88x^101+40x^102+24x^103+23x^104+12x^105+4x^107+1x^108+1x^110+2x^112+1x^114

The gray image is a code over GF(2) with n=736, k=14 and d=344.
This code was found by Heurico 1.16 in 5.03 seconds.