The generator matrix

 1  1  1  1  1  1  1  1  1  X  1  X  X  X  X  X  1  X  1  1  1  1  1  X  1  1
 0  2  0  0  0  2  2  2  0  0  0  2  2  0  2  2  0  0  2  0  2  2  2  0  0  0
 0  0  2  0  2  2  2  0  0  0  2  2  0  2  2  0  0  2  2  2  2  0  0  0  0  0
 0  0  0  2  2  0  2  2  0  2  2  0  0  0  2  2  2  2  0  0  2  2  0  0  0  0

generates a code of length 26 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+7x^24+110x^26+7x^28+2x^34+1x^36

The gray image is a code over GF(2) with n=208, k=7 and d=96.
This code was found by Heurico 1.16 in 3.81e-009 seconds.