The generator matrix

 1  0  0  1  1  1 2X  1  2 3X+2  1  1  1 2X+2  1  1 3X X+2  X 3X+2  1  1 2X  1  1
 0  1  0 2X  3  1  1 2X+2 3X+2  1 X+3 2X X+1  1 3X+3 3X+2  1 X+2  1 3X 2X+2 2X+1  1  X  X
 0  0  1 3X+1 3X+3 2X+2 3X+3  X  1 3X+1  3  1 X+2 3X+2 2X+2 2X  0  1 2X+3  1 3X+2 X+2 X+1  1 3X

generates a code of length 25 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+184x^22+684x^23+798x^24+1038x^25+588x^26+424x^27+241x^28+118x^29+11x^30+8x^31+1x^34

The gray image is a code over GF(2) with n=200, k=12 and d=88.
This code was found by Heurico 1.16 in 0.062 seconds.