The generator matrix

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

generates a code of length 95 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+231x^88+1022x^89+1868x^90+2276x^91+2824x^92+3270x^93+3761x^94+3490x^95+3474x^96+2834x^97+2603x^98+1838x^99+1355x^100+906x^101+459x^102+258x^103+118x^104+48x^105+38x^106+30x^107+17x^108+16x^109+10x^110+12x^111+4x^112+5x^114

The gray image is a code over GF(2) with n=760, k=15 and d=352.
This code was found by Heurico 1.16 in 17.3 seconds.