The generator matrix

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

generates a code of length 26 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+42x^21+115x^22+220x^23+444x^24+774x^25+964x^26+768x^27+408x^28+190x^29+80x^30+36x^31+27x^32+18x^33+8x^34+1x^38

The gray image is a code over GF(2) with n=208, k=12 and d=84.
This code was found by Heurico 1.16 in 0.125 seconds.