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 X 1 X X X X 1 X 1 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 1 X X 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 0 0 2X 0 0 2X 2X 2X 2X 2X+2 2X 2 2 0 2 0 2 2 0 2 0 2 2 2 0 2X+2 2 2X 2X 2X 2X+2 2 2X 2X 2X+2 2 2X+2 2 0 2X 2X+2 2 0 2X 2X+2 2 0 2X 0 2X 2X+2 2 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 2X 2X 2X 2X 2X 0 2X 2X 0 0 2X 2X 0 0 2X 2X 0 0 2X 2X 0 2X 0 2X 2X 0 0 2X 0 0 0 2X 0 0 0 0 0 2X 2X 2X 2X 0 0 2X 2X 2X 2X 0 0 2X 2X 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 0 2X 2X 2X 0 0 2X 2X 0 0 2X 0 2X 2X 2X 0 0 0 2X 0 2X 0 2X 2X 0 0 0 0 0 0 2X 2X 2X 2X 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 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 2X 0 2X 2X 2X 2X 2X 0 0 0 0 2X 2X 0 0 0 0 2X 2X 2X 0 0 0 2X 2X 2X 0 2X 2X 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 2X 2X 0 0 0 0 0 0 0
generates a code of length 97 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 96.
Homogenous weight enumerator: w(x)=1x^0+31x^96+446x^97+31x^98+2x^129+1x^130
The gray image is a code over GF(2) with n=776, k=9 and d=384.
This code was found by Heurico 1.16 in 1.13 seconds.