The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+20x^21+210x^22+656x^23+702x^24+976x^25+682x^26+620x^27+176x^28+24x^29+7x^30+4x^31+9x^32+4x^33+4x^34+1x^38

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 0.063 seconds.