The generator matrix

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

generates a code of length 26 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+184x^22+144x^23+687x^24+628x^25+891x^26+640x^27+571x^28+104x^29+195x^30+16x^31+20x^32+4x^33+9x^34+1x^36+1x^38

The gray image is a code over GF(2) with n=208, k=12 and d=88.
This code was found by Heurico 1.16 in 0.641 seconds.