The generator matrix

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

generates a code of length 94 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+138x^85+961x^86+2148x^87+4303x^88+5580x^89+8711x^90+9718x^91+13356x^92+12566x^93+16274x^94+13002x^95+13375x^96+9852x^97+8659x^98+4992x^99+3652x^100+1842x^101+1022x^102+462x^103+245x^104+98x^105+76x^106+14x^107+12x^108+2x^109+7x^110+2x^113+2x^114

The gray image is a code over GF(2) with n=752, k=17 and d=340.
This code was found by Heurico 1.16 in 215 seconds.