The generator matrix

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

generates a code of length 95 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+64x^86+912x^87+2250x^88+4098x^89+5569x^90+8474x^91+10190x^92+12778x^93+13724x^94+15330x^95+14043x^96+13188x^97+10032x^98+7922x^99+5169x^100+3374x^101+1904x^102+1138x^103+409x^104+296x^105+91x^106+44x^107+33x^108+24x^109+8x^110+4x^111+1x^112+2x^113

The gray image is a code over GF(2) with n=760, k=17 and d=344.
This code was found by Heurico 1.16 in 204 seconds.