The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+81x^20+654x^21+2156x^22+3314x^23+7162x^24+5868x^25+7517x^26+3404x^27+1805x^28+542x^29+214x^30+34x^31+7x^32+8x^33+1x^34

The gray image is a code over GF(2) with n=200, k=15 and d=80.
This code was found by Heurico 1.16 in 2.98 seconds.