The generator matrix

 1  0  1  1  1  2  X  1  1  1 X+2  1  1  1 X+2  1  1 X+2  1  1  2  1  1  2  1  1  2  1  1  2  0  1  1  1 X+2  1  X  1  2  1  1  1 X+2  1 X+2  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  X  1  1  X  1  2  1  1  1  X  1  0  X  0  X  2  1  2  2  2  1  1  1  1  1
 0  1  1 X+2 X+3  1  1 X+1  X  3  1  2  X X+1  1  X X+1  1  0  1  1  0  1  1  0 X+3  1 X+2  1  1  1  2 X+3  X  1  1  1  0  1  0 X+3  X  1  X  1  3 X+3  1 X+1 X+2  3 X+3  1 X+1  3 X+1  3 X+1 X+1  1  3 X+3  3 X+3  3  2  2  0  2  X X+2  0 X+2 X+2  X  2  X  0  X  2  X  2  0  1  X  1  X  0  1  1  2 X+3  2  0  3  2
 0  0  X  0 X+2  X  X  2  X  2  0  X X+2  2  0  0  X X+2  0 X+2  0 X+2  2 X+2  0  X  X  0  X X+2  0 X+2  2 X+2  0  2  X  0  0  X  2  0 X+2  X  0  2  X  X X+2  2 X+2 X+2  X  0  2  0  2 X+2  X X+2 X+2  2  0  2  0  0  X  2  2 X+2  0  2  2  X  X  2  X  X X+2  0 X+2 X+2  X X+2  2  X  X X+2  0  2  X  0  X  2  0 X+2
 0  0  0  2  0  2  2  2  0  2  0  2  0  0  2  2  2  0  0  2  2  2  0  0  2  0  0  0  2  2  0  0  0  2  0  2  0  2  2  0  2  0  2  2  2  0  0  2  0  2  2  2  0  0  0  2  2  2  2  0  0  0  0  2  2  2  0  2  0  0  0  0  2  2  2  2  0  2  2  0  0  2  0  2  2  0  2  0  0  2  0  2  2  0  0  2
 0  0  0  0  2  2  0  0  2  2  2  2  0  2  2  2  0  0  2  2  0  0  0  2  2  0  0  2  0  0  2  2  2  2  0  2  2  0  2  0  0  0  2  0  0  0  2  2  0  2  0  2  2  0  2  2  0  0  2  0  2  0  2  2  0  0  0  0  2  2  0  2  2  0  0  0  2  2  0  2  2  2  0  2  0  0  0  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 91.

Homogenous weight enumerator: w(x)=1x^0+52x^91+116x^92+128x^93+117x^94+130x^95+134x^96+76x^97+56x^98+54x^99+30x^100+40x^101+14x^102+14x^103+15x^104+10x^105+16x^106+4x^107+5x^108+5x^110+2x^112+2x^121+2x^123+1x^132

The gray image is a code over GF(2) with n=384, k=10 and d=182.
This code was found by Heurico 1.16 in 0.775 seconds.