The generator matrix

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

generates a code of length 98 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+452x^92+840x^94+729x^96+644x^98+464x^100+348x^102+248x^104+152x^106+92x^108+68x^110+30x^112+28x^114

The gray image is a code over GF(2) with n=392, k=12 and d=184.
This code was found by Heurico 1.16 in 4.57 seconds.