The generator matrix

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

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+288x^21+925x^22+2014x^23+3349x^24+3382x^25+3270x^26+1954x^27+822x^28+264x^29+77x^30+30x^31+4x^32+2x^33+2x^35

The gray image is a code over GF(2) with n=200, k=14 and d=84.
This code was found by Heurico 1.16 in 0.875 seconds.