The generator matrix

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

generates a code of length 25 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+707x^20+2432x^21+7076x^22+14820x^23+24973x^24+30480x^25+25772x^26+15032x^27+6863x^28+2128x^29+612x^30+132x^31+30x^32+12x^34+2x^36

The gray image is a code over GF(2) with n=200, k=17 and d=80.
This code was found by Heurico 1.16 in 235 seconds.