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 X X X X X X X X 1 1 X 1 X 1 X 1 X 1 X 1 X 1 X X X X X X X X X X X X X X X X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 1 1 1
0 2X+2 0 2X+2 0 2X+2 0 2X+2 0 2X+2 0 2X+2 0 2X+2 0 2X+2 2X 2 2X 2 2X 2 2X 2 2X 2 2X 2 2X 2 2X 2 2X+2 2X+2 2X+2 2X+2 2X+2 2X+2 2X+2 2X+2 0 0 2X 0 2X 0 2X 0 2X 0 2X 0 2X 0 2X 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2X+2 2 2X+2 2 2X+2 2 2X 2X+2 2 2X 2X 2X 2X+2 2 2X 2X 2X+2 2 2X 2X 2X+2 2 0 2X+2 2X 2 0 0 0
0 0 2X 0 0 0 2X 0 0 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 2X 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 2X 2X 0 2X 2X 0 0 0 0 0 0 2X 2X 2X 0 2X 0 0 0 2X 0 2X 2X 2X 0 2X 2X 0 2X 0 2X 0 0 0
0 0 0 2X 0 0 0 2X 2X 2X 2X 2X 2X 0 2X 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 2X 2X 2X 2X 0 0 0 0 0 2X 2X 2X 2X 2X 0 2X 0 0 2X 0 2X 0 0 2X 2X 2X 2X 0 0 0 2X 2X 0 2X 2X 0 0 0 0 0 2X 2X 0 2X 2X 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0
0 0 0 0 2X 2X 2X 2X 2X 0 0 2X 0 2X 2X 0 0 0 2X 2X 2X 2X 0 0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 0 0 2X 0 0 2X 2X 2X 2X 0 0 0 2X 2X 0 0 2X 2X 0 2X 2X 0 0 0 2X 2X 0 0 2X 2X 2X 2X 0 0 0 0 2X 2X 0 0 2X 0 2X 2X 0 2X 2X 2X 0 0 0 0 0 0 0
generates a code of length 99 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 96.
Homogenous weight enumerator: w(x)=1x^0+31x^96+446x^99+31x^102+2x^131+1x^134
The gray image is a code over GF(2) with n=792, k=9 and d=384.
This code was found by Heurico 1.16 in 1.22 seconds.