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

generates a code of length 99 over Z4[X]/(X^3+2,2X) 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 1.22 seconds.