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

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+94x^24+32x^25+212x^26+128x^27+40x^28+4x^30+1x^48

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 -3.24e-008 seconds.