The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 0 1 1 2 1 1 X 1 1 1 0 1 1 1 X X 1 2 0 1 X 2 2 2 1 1
0 X 0 0 0 X X+2 X 0 2 2 0 X X X+2 X 0 2 0 2 X+2 X X+2 X 2 0 0 X+2 X X+2 2 X 0 X 2 0 X+2 X+2 2 X+2 0 0 X X 2 2 2 0 0 X X X 2 X+2 X+2 0 2 X+2 X X+2 X+2 X+2 0 2 X+2 0 2 0 0 0 0 2 X+2 2 X+2 2 2 2 X+2 0 X 2 X+2 0 X+2 0 X X X+2 X X X X X 0 0 X X+2 X+2
0 0 X 0 X X X 0 0 X 2 X+2 X X+2 0 2 0 X+2 2 X+2 X 0 X 2 0 X 0 2 X X+2 X+2 2 X 0 2 2 0 X+2 X X X 0 X+2 0 0 2 X+2 2 X+2 2 X X+2 X+2 2 X X+2 2 X+2 0 2 X 0 2 X+2 0 2 X+2 X X X+2 0 X X 2 X 0 X X X X X X+2 0 0 0 2 X+2 X X 0 2 0 X 2 X 2 2 X X+2
0 0 0 X X 0 X X+2 2 X X+2 0 0 X X 2 0 X X+2 0 2 0 X+2 X+2 2 0 X 2 2 X+2 X X X X X 0 2 X+2 2 0 X X 0 2 0 X+2 2 0 X+2 X+2 X X+2 2 2 0 X+2 X 2 2 X X+2 X X 0 X 0 X X+2 2 0 2 X+2 X X X X+2 X+2 0 X X X+2 0 X+2 X 0 X X 0 X+2 0 2 2 0 2 X X 0 X+2 X
0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 0 2 0 2 2 2 2 2 2 2 0 2 2 2 0 0 0 2 0 0 2 2 2 2 2 0 0 0 0 2 2 2 2 2 0 0 2 0 0 0 2 2 2 0 0 0 2 0 2 0 0 0 0 2 0 2 0 2 0 2 0 0 0 0 2 2 2 0 0 0 2 2 0 2 0 2 0 2 0 0 0 2
0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 2 2 0 0 2 0 0 2 2 0 0 2 2 2 0 2 0 0 0 2 0 2 2 0 0 2 0 0 0 2 0 2 2 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 2 2 0 0 2 0 0 2 0 0 2 2 0 2 2 2 2 2 0 2 2 2 0 0 2
generates a code of length 99 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 92.
Homogenous weight enumerator: w(x)=1x^0+259x^92+20x^93+92x^95+246x^96+256x^97+312x^99+189x^100+212x^101+108x^103+190x^104+24x^105+96x^108+35x^112+7x^116+1x^172
The gray image is a code over GF(2) with n=396, k=11 and d=184.
This code was found by Heurico 1.16 in 40.7 seconds.