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

generates a code of length 99 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+56x^100+5x^104+2x^108

The gray image is a code over GF(2) with n=792, k=6 and d=400.
This code was found by Heurico 1.16 in 0.75 seconds.