The generator matrix

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

generates a code of length 92 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+942x^85+1846x^86+3314x^87+4538x^88+5670x^89+6158x^90+7634x^91+6914x^92+6946x^93+5886x^94+5584x^95+3868x^96+2694x^97+1557x^98+1058x^99+477x^100+256x^101+86x^102+50x^103+17x^104+20x^105+11x^106+8x^107+1x^108

The gray image is a code over GF(2) with n=736, k=16 and d=340.
This code was found by Heurico 1.16 in 321 seconds.