The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+786x^85+2092x^86+3308x^87+4434x^88+5612x^89+6452x^90+7134x^91+7147x^92+7090x^93+6056x^94+5214x^95+3816x^96+2808x^97+1853x^98+884x^99+359x^100+256x^101+114x^102+26x^103+37x^104+24x^105+17x^106+10x^107+6x^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 56.1 seconds.