The generator matrix

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

generates a code of length 26 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+67x^24+180x^25+122x^26+24x^27+60x^28+52x^29+4x^30+1x^34+1x^42

The gray image is a code over GF(2) with n=208, k=9 and d=96.
This code was found by Heurico 1.16 in 0.016 seconds.