The generator matrix

 1  0  0  1  1  1  0  1  2  1  1  2  1 X+2 X+2  1 X+2  1  1  0  1  1  1  2  1  2  1  X  1  X  X  1  1  1  1  1  2  0  0  1  1 X+2  1  2  0  2  1 X+2  0  X  1 X+2  1  0 X+2  1 X+2  1 X+2  1  X  1  1  1  1  1  1  1  1  1  1  1  0 X+2  1  1  X X+2  0  X  1  1  1  1  1  X  1  1  X  1  1  X X+2  2 X+2  1
 0  1  0  0  1  3  1  X  1  1  2  1  3 X+2  1  X  1  0 X+3 X+2 X+3 X+2  3  1  0  0 X+1  1 X+3  1  1  3  2 X+2  X  X  1  2  1  1 X+2  2 X+1  X  1  1 X+2  1  1  1  2  2 X+3  1  1 X+3  0 X+2  X  3  X  1  X X+3  0 X+1 X+3  2  X X+3  1  1  1  1  2 X+2  1  X  X  2  1  0  0  1  1  1  3 X+1  1  2  2  X  0  0  1  1
 0  0  1 X+1 X+3  0 X+1  1  X  1  X  3 X+2  1  X  X X+3  3  1  1  X X+1  3  3 X+2  1 X+2  2  2  3 X+2 X+3 X+2 X+1  X  0 X+1  1 X+2  2  1  1  3  1  1 X+2  3 X+1  2 X+2 X+1  1 X+3  0  3 X+3  1 X+2  1  X  1  X X+3  X  2  0  3  2 X+2 X+1 X+3  3 X+3  2  3  3  3  1  1  1 X+3 X+1  3 X+1  0  1  3  1  2  3 X+3  1  1  1 X+2 X+1
 0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  0  0  0  0  0  0  2  0  0  0  2  0  0  2  0  2  2  2  2  2  0  0  0  2  0  2  2  0  2  0  0  2  2  0  2  2  0  0  0  0  2  2  0  0  0  2  2  2  2  0  2  0  0  2  0  2  0  0  0  2  2  0  2  2  2  2  0  0  0  0  2  2  2  0  0  0
 0  0  0  0  2  2  2  0  2  2  0  2  2  0  2  2  0  2  0  2  0  2  0  0  2  2  0  0  2  2  0  0  0  2  2  2  2  2  2  0  2  0  2  0  2  0  0  0  2  0  0  0  2  2  0  0  2  0  0  0  0  0  0  2  2  2  2  2  0  0  0  2  0  2  0  2  0  2  2  2  2  2  0  0  2  2  2  0  2  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+264x^91+147x^92+358x^93+131x^94+302x^95+70x^96+182x^97+43x^98+174x^99+35x^100+98x^101+29x^102+54x^103+28x^104+42x^105+20x^106+34x^107+5x^108+24x^109+4x^111+1x^112+1x^116+1x^122

The gray image is a code over GF(2) with n=384, k=11 and d=182.
This code was found by Heurico 1.16 in 49.3 seconds.