The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+30x^24+98x^25+260x^26+92x^27+25x^28+2x^29+3x^30+1x^50

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 0.015 seconds.