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

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

Homogenous weight enumerator: w(x)=1x^0+1x^100+26x^101+2x^102+2x^103

The gray image is a code over GF(2) with n=784, k=5 and d=400.
This code was found by Heurico 1.16 in 0.719 seconds.