The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+16x^26+10x^27+1x^28+2x^29+2x^30

The gray image is a code over GF(2) with n=208, k=5 and d=104.
This code was found by Heurico 1.16 in 0.016 seconds.