The generator matrix

 1  0  1  1  1 3X+2  1  1  2  1  1 3X  1  1  1  1  1  1  1  1 2X X+2 2X+2  X  1
 0  1 X+1 3X+2 2X+3  1  2 X+3  1 3X 2X+1  1 2X 3X+1 X+2  3 2X+2  X 3X+3  1  1  1  1  1  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+14x^24+224x^25+14x^26+1x^32+2x^34

The gray image is a code over GF(2) with n=200, k=8 and d=96.
This code was found by Heurico 1.16 in 0 seconds.