The generator matrix

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

generates a code of length 25 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+106x^22+284x^23+453x^24+448x^25+408x^26+184x^27+112x^28+32x^29+6x^30+12x^31+2x^36

The gray image is a code over GF(2) with n=200, k=11 and d=88.
This code was found by Heurico 1.16 in 0.016 seconds.