The generator matrix

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

generates a code of length 93 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+166x^88+920x^89+772x^90+1380x^91+788x^92+1296x^93+502x^94+688x^95+322x^96+556x^97+208x^98+268x^99+114x^100+104x^101+50x^102+16x^103+13x^104+20x^105+4x^106+2x^108+1x^112+1x^120

The gray image is a code over GF(2) with n=744, k=13 and d=352.
This code was found by Heurico 1.16 in 1.47 seconds.