The generator matrix

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

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+271x^22+636x^23+729x^24+984x^25+661x^26+488x^27+210x^28+56x^29+33x^30+12x^31+12x^32+3x^34

The gray image is a code over GF(2) with n=200, k=12 and d=88.
This code was found by Heurico 1.16 in 1.23 seconds.