The generator matrix

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

generates a code of length 93 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+12x^92+216x^93+12x^94+3x^96+8x^97+2x^98+2x^114

The gray image is a code over GF(2) with n=744, k=8 and d=368.
This code was found by Heurico 1.16 in 0.343 seconds.