The generator matrix

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

generates a code of length 95 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+146x^87+1070x^88+2032x^89+3270x^90+4232x^91+5808x^92+6666x^93+6762x^94+6854x^95+6956x^96+6104x^97+5169x^98+3550x^99+2939x^100+1790x^101+1072x^102+584x^103+281x^104+134x^105+55x^106+26x^107+25x^108+8x^109+2x^113

The gray image is a code over GF(2) with n=760, k=16 and d=348.
This code was found by Heurico 1.16 in 61.3 seconds.