The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+715x^22+936x^23+1647x^24+1624x^25+1758x^26+856x^27+518x^28+40x^29+87x^30+10x^32

The gray image is a code over GF(2) with n=200, k=13 and d=88.
This code was found by Heurico 1.16 in 18.2 seconds.