The generator matrix

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

generates a code of length 96 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+251x^92+190x^94+245x^96+150x^98+99x^100+42x^102+32x^104+2x^106+6x^108+2x^120+3x^128+1x^136

The gray image is a code over GF(2) with n=384, k=10 and d=184.
This code was found by Heurico 1.16 in 3.09 seconds.