The generator matrix

 1  0  0  1  1  1  2  0  0  2  1  1  1  1  X  1  1  0  1  1  2  1  0  2  1  1  1  0  0  0 X+2  X X+2  X X+2  X 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  1 X+2 X+2  1 X+2 X+2  1  1  1  1  2  0  1  1  2  1  0  2  1  1  X  1  2  0 X+2  X  2  1 X+2  1  0  1  1
 0  1  0  0  1  1  1  X  1  1  X X+1  X X+1  1  1  0  2 X+1 X+1  1  0  1  1  X  1  X  1 X+2  2  1  1  1  1  1  1  1  0  X X+1  X X+1  X  2  3  2 X+1  3 X+2  0 X+3  0  1 X+2  3  0  X  X  1  X X+3  2  2  3  2  0 X+3 X+2  X  1  1 X+2 X+1  0  X X+3  2  1  2  1  X X+3  X  1  3  1  1  2 X+2  2  2  1  0  2  1  1
 0  0  1  1  2  3  1  1  X X+1  2  1  3  0  0 X+3  X  1  X X+1 X+1 X+1  2  3 X+3 X+2 X+2  X  1  1  1  X X+1  1  0 X+3 X+2  1  0 X+2  1 X+3  1 X+3 X+2  0  3  3 X+3 X+2  2  1  2 X+2 X+3  1  1  1 X+3 X+2  3  1 X+3  3  1  1 X+3  1  1  1 X+1  2 X+3  1  1  3  3  X  3  2  0  1  2  2  1  X X+3  1  1  1  2 X+1  3  1  1 X+1
 0  0  0  2  0  2  2  2  2  0  2  0  0  2  0  2  0  2  2  0  2  2  2  0  0  0  2  0  2  0  0  0  0  2  2  2  2  0  0  0  2  2  0  0  2  2  2  0  2  2  0  0  2  0  0  2  0  2  0  0  0  0  2  2  2  0  2  2  0  0  2  2  0  2  0  2  0  2  2  0  2  2  0  2  2  0  0  0  0  2  2  2  2  2  2  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+114x^92+146x^93+245x^94+88x^95+92x^96+82x^97+48x^98+20x^99+50x^100+6x^101+26x^102+24x^103+46x^104+6x^105+16x^106+12x^107+1x^126+1x^128

The gray image is a code over GF(2) with n=384, k=10 and d=184.
This code was found by Heurico 1.11 in 0.562 seconds.