The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+220x^23+105x^24+444x^25+72x^26+116x^27+12x^28+52x^29+2x^36

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 0.031 seconds.