The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+202x^23+221x^24+280x^25+126x^26+116x^27+34x^28+40x^29+1x^30+2x^31+1x^38

The gray image is a code over GF(2) with n=200, k=10 and d=92.
This code was found by Heurico 1.16 in 0.344 seconds.