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

generates a code of length 99 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 98.

Homogenous weight enumerator: w(x)=1x^0+42x^98+160x^99+41x^100+2x^102+1x^104+2x^106+5x^108+2x^114

The gray image is a code over GF(2) with n=792, k=8 and d=392.
This code was found by Heurico 1.16 in 0.906 seconds.