The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+200x^19+1384x^20+4748x^21+13865x^22+29132x^23+50740x^24+61168x^25+51704x^26+29686x^27+13575x^28+4292x^29+1273x^30+288x^31+57x^32+16x^33+6x^34+6x^35+3x^36

The gray image is a code over GF(2) with n=200, k=18 and d=76.
This code was found by Heurico 1.16 in 168 seconds.