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

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

Homogenous weight enumerator: w(x)=1x^0+29x^88+134x^89+159x^90+260x^91+314x^92+436x^93+634x^94+522x^95+398x^96+366x^97+325x^98+164x^99+105x^100+60x^101+48x^102+66x^103+14x^104+24x^105+16x^106+12x^107+4x^109+1x^110+2x^112+1x^118+1x^156

The gray image is a code over GF(2) with n=760, k=12 and d=352.
This code was found by Heurico 1.16 in 1.91 seconds.