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

generates a code of length 99 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 97.

Homogenous weight enumerator: w(x)=1x^0+44x^97+23x^98+128x^99+23x^100+16x^101+7x^102+7x^104+1x^106+1x^108+4x^113+1x^126

The gray image is a code over GF(2) with n=396, k=8 and d=194.
This code was found by Heurico 1.16 in 23.1 seconds.