The generator matrix

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

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+61x^22+92x^23+242x^24+288x^25+214x^26+48x^27+35x^28+16x^29+21x^30+4x^31+1x^32+1x^44

The gray image is a code over GF(2) with n=200, k=10 and d=88.
This code was found by Heurico 1.16 in 0.015 seconds.