The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+52x^22+258x^23+406x^24+1036x^25+635x^26+1028x^27+380x^28+220x^29+47x^30+6x^31+13x^32+8x^33+1x^34+4x^35+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 0.078 seconds.