The generator matrix

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

generates a code of length 98 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+63x^92+172x^93+260x^94+190x^95+244x^96+188x^97+174x^98+90x^99+153x^100+98x^101+110x^102+66x^103+73x^104+28x^105+23x^106+26x^107+24x^108+18x^109+8x^110+12x^111+8x^112+8x^113+9x^114+2x^120

The gray image is a code over GF(2) with n=392, k=11 and d=184.
This code was found by Heurico 1.16 in 0.822 seconds.