The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+86x^22+24x^23+254x^24+336x^25+232x^26+24x^27+35x^28+18x^30+13x^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 3.44 seconds.