The generator matrix

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

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+103x^20+668x^21+1721x^22+3878x^23+6071x^24+7780x^25+6283x^26+3956x^27+1511x^28+588x^29+169x^30+22x^31+8x^32+4x^33+1x^34+2x^36+2x^38

The gray image is a code over GF(2) with n=200, k=15 and d=80.
This code was found by Heurico 1.16 in 2.91 seconds.