The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+8x^25+108x^26+8x^27+1x^32+2x^36

The gray image is a code over GF(2) with n=208, k=7 and d=100.
This code was found by Heurico 1.16 in 0.015 seconds.