The generator matrix

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

generates a code of length 25 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+314x^19+1256x^20+4988x^21+13101x^22+30418x^23+49417x^24+61758x^25+50936x^26+31334x^27+12516x^28+4480x^29+1237x^30+318x^31+40x^32+22x^33+6x^34+2x^36

The gray image is a code over GF(2) with n=200, k=18 and d=76.
This code was found by Heurico 1.16 in 161 seconds.