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

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

Homogenous weight enumerator: w(x)=1x^0+139x^92+96x^94+15x^96+4x^108+1x^124

The gray image is a code over GF(2) with n=372, k=8 and d=184.
This code was found by Heurico 1.16 in 2.65 seconds.