The generator matrix

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

generates a code of length 96 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+54x^94+70x^95+25x^96+40x^97+38x^98+12x^99+5x^100+4x^102+4x^103+2x^111+1x^116

The gray image is a code over GF(2) with n=384, k=8 and d=188.
This code was found by Heurico 1.16 in 0.52 seconds.