The generator matrix

 1  0  0  1  1  1  2  0  0  2  1  1  1  1  X  1  1  0  1  0  1  1  2  0  1  1  1  2  0  0  X  X  X X+2 X+2 X+2 X+2  X  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  X  2 X+2  1  1  1  1  1 X+2  1  1 X+2  1  1  1  X  1  2  X  0  1  1  1  1  1  1 X+2  1  1  1  1  1  1  1  1 X+2  1  1  1  1  1
 0  1  0  0  3  3  1 X+2  1  1  X X+3  X X+3  1  1 X+2 X+2 X+1  1 X+1  2  1  1 X+2  2  1  1  2  X  1  1  1  1  1  1  1  X  2  3 X+2  0  0 X+3 X+2  1  3 X+3  0  2 X+3 X+2  3 X+2 X+1  X  2  0  1  0  2  1 X+1  0 X+3 X+3 X+2 X+3  3  3  2  1 X+2 X+2  2  0  2  2 X+2 X+2  0 X+2  0  1 X+3  0  1  X X+2 X+1  2  0  3  3  X X+1
 0  0  1 X+1 X+3  2 X+3  1 X+2  1  X X+2  1  3  1  3 X+1  1  2  0 X+3  X  1  X  0  1 X+2 X+1  1  1  X  2 X+3  X  3  0 X+3  1  2 X+3  1 X+1  1 X+2  0  3  X X+1  3  X  2 X+3  0 X+2  1  1  1  1 X+3  X  0 X+3 X+1  1  3  1  1 X+3  3  1  1 X+1  1  1  1  2 X+2 X+1  X X+1  2  1  0 X+1 X+3 X+3  1 X+2  X  3  1 X+2  3 X+2  3  0
 0  0  0  2  2  0  2  2  2  0  2  2  0  0  0  2  0  0  2  2  0  0  2  0  2  2  0  0  0  2  2  2  0  0  2  0  2  2  2  0  2  0  2  0  0  0  2  2  0  2  0  2  2  0  2  0  2  0  0  2  0  2  2  2  2  0  0  0  0  2  0  2  0  2  2  0  2  0  0  2  2  2  2  0  2  2  0  2  2  0  2  0  2  0  2  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+125x^92+92x^93+258x^94+84x^95+166x^96+16x^97+84x^98+16x^99+52x^100+20x^101+18x^102+28x^103+44x^104+8x^106+9x^108+1x^120+1x^124+1x^132

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 0.584 seconds.