The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+30x^20+128x^21+234x^22+356x^23+751x^24+1100x^25+810x^26+352x^27+164x^28+80x^29+43x^30+28x^31+14x^32+4x^33+1x^38

The gray image is a code over GF(2) with n=200, k=12 and d=80.
This code was found by Heurico 1.16 in 0.125 seconds.