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

generates a code of length 92 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+107x^86+208x^87+275x^88+332x^89+514x^90+396x^91+593x^92+380x^93+463x^94+252x^95+202x^96+168x^97+84x^98+36x^99+44x^100+12x^101+16x^102+4x^103+4x^104+4x^105+1x^156

The gray image is a code over GF(2) with n=736, k=12 and d=344.
This code was found by Heurico 1.16 in 1.31 seconds.