The generator matrix

 1  0  1  1  1 3X+2  1  1  X  1  1 X+2  1  1 2X+2  1  1  1  1 2X  1 2X  1 X+2  1
 0  1 X+1 X+2  3  1 3X+2 X+3  1  X X+1  1 2X+2 2X+1  1 2X 2X+3 X+2 2X  1 X+1  1 2X+3  1 2X
 0  0  2  0 2X 2X+2 2X+2 2X+2  2  2 2X  0  0 2X  0  2 2X+2 2X  2  2  0  2 2X+2 2X 2X
 0  0  0 2X 2X 2X  0 2X  0 2X  0 2X 2X  0 2X  0  0  0 2X  0 2X 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+114x^22+232x^23+660x^24+64x^25+646x^26+208x^27+104x^28+6x^30+8x^31+3x^32+2x^34

The gray image is a code over GF(2) with n=200, k=11 and d=88.
This code was found by Heurico 1.16 in 0.031 seconds.