The generator matrix

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

generates a code of length 92 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+594x^88+352x^89+712x^90+376x^91+470x^92+256x^93+472x^94+176x^95+373x^96+96x^97+120x^98+24x^99+42x^100+8x^102+22x^104+2x^120

The gray image is a code over GF(2) with n=736, k=12 and d=352.
This code was found by Heurico 1.16 in 17.5 seconds.