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

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

Homogenous weight enumerator: w(x)=1x^0+2x^98+44x^99+3x^100+12x^101+1x^102+1x^106

The gray image is a code over GF(2) with n=784, k=6 and d=392.
This code was found by Heurico 1.16 in 0.86 seconds.