The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+292x^21+1003x^22+2070x^23+2882x^24+3734x^25+3212x^26+2088x^27+752x^28+228x^29+79x^30+34x^31+5x^32+2x^33+2x^34

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 10.2 seconds.