The generator matrix

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

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+130x^21+319x^22+432x^23+927x^24+594x^25+874x^26+360x^27+274x^28+118x^29+23x^30+24x^31+14x^32+6x^33

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 0.094 seconds.