The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^26+5x^28+1x^32+1x^36

The gray image is a code over GF(2) with n=208, k=6 and d=104.
This code was found by Heurico 1.16 in -3.24e-008 seconds.