The generator matrix

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

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+46x^22+114x^23+169x^24+396x^25+157x^26+82x^27+29x^28+16x^29+12x^30+1x^32+1x^46

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 -3.24e-008 seconds.