The generator matrix

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

generates a code of length 95 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+206x^89+940x^90+1280x^91+1900x^92+1556x^93+2208x^94+1588x^95+1734x^96+1230x^97+1274x^98+744x^99+683x^100+372x^101+331x^102+102x^103+122x^104+56x^105+7x^106+28x^107+7x^108+4x^109+6x^110+2x^111+1x^112+1x^114+1x^118

The gray image is a code over GF(2) with n=760, k=14 and d=356.
This code was found by Heurico 1.16 in 4.94 seconds.