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

generates a code of length 98 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+3x^100+24x^101+3x^102+1x^106

The gray image is a code over GF(2) with n=392, k=5 and d=200.
This code was found by Heurico 1.16 in 0.557 seconds.