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

generates a code of length 99 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+28x^102+3x^104

The gray image is a code over GF(2) with n=792, k=5 and d=408.
This code was found by Heurico 1.16 in 0.75 seconds.