The generator matrix

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

generates a code of length 92 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+832x^84+2132x^85+3829x^86+5928x^87+7709x^88+10702x^89+12885x^90+14236x^91+15187x^92+14654x^93+12243x^94+10744x^95+7828x^96+5422x^97+3259x^98+1744x^99+909x^100+372x^101+248x^102+80x^103+66x^104+26x^105+12x^106+4x^107+12x^108+2x^109+4x^110+2x^113

The gray image is a code over GF(2) with n=736, k=17 and d=336.
This code was found by Heurico 1.16 in 246 seconds.