The generator matrix

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

generates a code of length 26 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+12x^25+40x^26+2x^28+4x^29+4x^30+1x^32

The gray image is a code over GF(2) with n=208, k=6 and d=100.
This code was found by Heurico 1.16 in 6.87e-008 seconds.