The generator matrix

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

generates a code of length 25 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+50x^21+556x^22+1008x^23+1621x^24+1946x^25+1472x^26+838x^27+530x^28+114x^29+28x^30+8x^31+16x^32+2x^33+2x^35

The gray image is a code over GF(2) with n=200, k=13 and d=84.
This code was found by Heurico 1.16 in 0.204 seconds.