The generator matrix

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

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+270x^21+1027x^22+1936x^23+3133x^24+3722x^25+3172x^26+1848x^27+950x^28+242x^29+23x^30+40x^31+12x^32+6x^33+2x^34

The gray image is a code over GF(2) with n=200, k=14 and d=84.
This code was found by Heurico 1.16 in 0.813 seconds.