The generator matrix

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

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+492x^92+772x^94+718x^96+698x^98+465x^100+336x^102+238x^104+148x^106+98x^108+76x^110+35x^112+18x^114+1x^116

The gray image is a code over GF(2) with n=392, k=12 and d=184.
This code was found by Heurico 1.11 in 1.08 seconds.