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

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+64x^98+144x^99+12x^100+16x^101+7x^102+2x^104+8x^106+1x^112+1x^118

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 1.2 seconds.