The generator matrix

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

generates a code of length 26 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+307x^20+1380x^21+5400x^22+13908x^23+29763x^24+50092x^25+59418x^26+51356x^27+30335x^28+13500x^29+4900x^30+1292x^31+388x^32+52x^33+42x^34+4x^35+6x^36

The gray image is a code over GF(2) with n=208, k=18 and d=80.
This code was found by Heurico 1.16 in 169 seconds.