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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  X  1  1  X  1 2X+2  1  2  1  1  1  X  X  X  2  0  1  X  X  X 2X+2  2 2X  X  1
 0  X  0  X  0 2X 3X  X  2 X+2  2 3X+2  2 2X+2 3X+2 3X+2  0 2X+2  X 3X+2  X  0 2X 3X X+2  2  2 X+2 3X  0 3X+2 2X+2  X  2 3X+2 2X  2  2 3X 3X 2X 3X  0 3X 3X 3X  0 2X+2 2X+2 2X 2X+2  0  0 3X+2 X+2 3X 3X+2 X+2 3X+2 2X+2  2 X+2 3X+2 2X  0 2X+2  2  2  X 3X  X  2 2X 3X  2  X  2  X 2X+2  0 3X+2  X 3X+2  X  2  X 3X+2 3X+2 3X X+2  X  X 2X+2 2X 2X+2
 0  0  X  X 2X+2 3X+2 X+2  2  2 3X+2  X  0 2X 3X+2 3X  2  0 3X  X  2 3X+2  X 2X+2 2X+2 3X+2  0 X+2 2X 2X X+2 3X 2X+2 X+2  X 2X+2 2X+2  0 3X+2  X 2X+2  X 2X  0 3X 3X+2 2X 2X 3X+2  X 3X+2  2 3X+2 2X+2 3X  X  2 2X+2 X+2 X+2 2X+2 2X 2X 2X 3X 3X 2X  X 3X+2  2  0  X  2 3X  0 2X+2  0  0 3X  X X+2 2X 2X+2  2 3X+2  X  0 2X 3X+2 2X+2 3X+2 3X 2X+2  X 3X+2 2X+2
 0  0  0 2X  0  0 2X  0 2X  0 2X 2X 2X 2X  0 2X  0 2X  0 2X  0  0 2X  0 2X  0  0  0 2X 2X 2X 2X 2X  0  0  0  0  0  0 2X 2X 2X 2X 2X  0  0 2X 2X  0 2X  0  0 2X 2X  0 2X  0 2X  0  0 2X  0 2X 2X  0  0 2X 2X  0 2X  0  0  0 2X 2X  0 2X 2X  0  0  0  0 2X 2X  0  0  0 2X  0 2X  0 2X  0  0 2X
 0  0  0  0 2X 2X 2X 2X 2X 2X  0  0  0 2X  0 2X 2X 2X  0  0 2X 2X 2X  0  0  0  0 2X 2X  0 2X  0  0  0  0  0 2X 2X 2X 2X 2X  0  0 2X  0 2X 2X  0 2X 2X 2X  0  0  0 2X  0 2X 2X  0  0 2X  0 2X  0  0  0 2X 2X 2X  0  0 2X 2X 2X 2X 2X  0  0  0 2X  0 2X  0  0  0  0 2X 2X  0 2X  0  0 2X  0 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+90x^89+269x^90+290x^91+293x^92+544x^93+321x^94+670x^95+268x^96+474x^97+255x^98+230x^99+172x^100+92x^101+45x^102+26x^103+33x^104+16x^105+5x^106+1x^114+1x^156

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 1.47 seconds.