The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+2x^24+48x^25+3x^26+8x^27+1x^28+1x^30

The gray image is a code over GF(2) with n=200, k=6 and d=96.
This code was found by Heurico 1.16 in 1.05e-007 seconds.