The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+144x^21+192x^22+472x^23+797x^24+874x^25+944x^26+394x^27+64x^28+132x^29+48x^30+28x^31+1x^32+2x^33+2x^35+1x^40

The gray image is a code over GF(2) with n=200, k=12 and d=84.
This code was found by Heurico 1.16 in 26.5 seconds.