The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+116x^87+998x^88+2040x^89+3396x^90+4382x^91+5225x^92+6520x^93+6580x^94+7762x^95+6735x^96+6404x^97+5315x^98+3754x^99+2644x^100+1558x^101+1055x^102+532x^103+230x^104+144x^105+41x^106+52x^107+23x^108+6x^109+9x^110+10x^111+4x^114

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 56.2 seconds.