The generator matrix

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

generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+364x^84+496x^86+707x^88+530x^90+686x^92+466x^94+477x^96+212x^98+90x^100+14x^102+24x^104+8x^106+11x^108+6x^112+2x^114+1x^120+1x^124

The gray image is a code over GF(2) with n=364, k=12 and d=168.
This code was found by Heurico 1.16 in 12.8 seconds.