The generator matrix

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

generates a code of length 96 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+213x^90+397x^92+364x^94+344x^96+262x^98+174x^100+88x^102+125x^104+55x^106+11x^108+8x^110+2x^114+2x^120+1x^124+1x^132

The gray image is a code over GF(2) with n=384, k=11 and d=180.
This code was found by Heurico 1.16 in 1.03 seconds.