The generator matrix

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

generates a code of length 25 over Z4[X]/(X^3+2,2X) 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.