The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+308x^89+848x^90+1390x^91+1745x^92+1784x^93+1737x^94+1722x^95+1732x^96+1470x^97+1079x^98+866x^99+656x^100+418x^101+288x^102+194x^103+78x^104+6x^105+19x^106+18x^107+3x^108+14x^109+5x^110+1x^112+2x^115

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 5.17 seconds.