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

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+25x^92+86x^93+32x^94+128x^95+20x^96+96x^97+27x^98+52x^99+15x^100+10x^101+2x^102+12x^103+3x^106+2x^108+1x^176

The gray image is a code over GF(2) with n=384, k=9 and d=184.
This code was found by Heurico 1.16 in 0.721 seconds.