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

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

Homogenous weight enumerator: w(x)=1x^0+84x^86+212x^87+289x^88+420x^89+450x^90+430x^91+494x^92+436x^93+393x^94+344x^95+183x^96+140x^97+96x^98+38x^99+40x^100+4x^101+16x^102+16x^103+8x^105+1x^112+1x^150

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 1.33 seconds.