The generator matrix

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

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+104x^89+222x^90+296x^91+352x^92+448x^93+490x^94+524x^95+489x^96+288x^97+270x^98+208x^99+132x^100+108x^101+50x^102+40x^103+33x^104+28x^105+8x^106+4x^107+1x^152

The gray image is a code over GF(2) with n=760, k=12 and d=356.
This code was found by Heurico 1.16 in 1.45 seconds.