The generator matrix

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

generates a code of length 94 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+24x^92+244x^93+18x^94+184x^95+5x^96+20x^97+10x^98+2x^100+1x^102+2x^110+1x^134

The gray image is a code over GF(2) with n=752, k=9 and d=368.
This code was found by Heurico 1.16 in 0.61 seconds.