The generator matrix

 1  0  0  0  1  1  1 2X+2  1  1 X+2  1  X 2X+2  1 2X  1 3X  0  1  2  X  X 2X+2  1
 0  1  0  0  2 2X+1 2X+3  1 X+2 X+3  1  2 3X  1  3  1 2X+1  2 3X+2 2X+2  1  1  1  1 2X+2
 0  0  1  0  3  1  2  3  0 2X X+2 X+1  1 X+3 X+3 X+2  2  1  1  X  1 X+1 2X+3  X  2
 0  0  0  1  1  2  3  3 X+1  X  3 2X+2 2X+1  2 3X+1 2X+1 3X+2 3X+3  2  X 3X+3 2X+1  3 3X+1  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+251x^20+1308x^21+3631x^22+7130x^23+13030x^24+14778x^25+13191x^26+7142x^27+3555x^28+1176x^29+241x^30+78x^31+19x^32+2x^33+1x^34+2x^35

The gray image is a code over GF(2) with n=200, k=16 and d=80.
This code was found by Heurico 1.16 in 10.9 seconds.