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  1  1
 0 2X+2  0  2  0  0  2 2X+2  0  2 2X  2 2X+2 2X 2X 2X+2 2X 2X+2 2X  0  0  2 2X+2 2X+2 2X 2X
 0  0 2X+2  2  0 2X+2  2  0 2X 2X+2 2X+2 2X 2X+2  0 2X+2 2X  2 2X+2 2X 2X  2 2X  2 2X 2X  0
 0  0  0 2X 2X 2X  0 2X 2X 2X 2X 2X  0  0  0  0  0 2X 2X  0 2X  0  0 2X  0 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+39x^24+432x^26+39x^28+1x^52

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.