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

generates a code of length 94 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+72x^88+260x^89+294x^90+360x^91+397x^92+576x^93+438x^94+430x^95+403x^96+322x^97+187x^98+100x^99+77x^100+76x^101+40x^102+22x^103+9x^104+30x^105+1x^106+1x^152

The gray image is a code over GF(2) with n=752, k=12 and d=352.
This code was found by Heurico 1.16 in 1.41 seconds.