The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  X  X  X  X  X  X  X
 0  2  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  0  0  2  2  0  0  2  2  0
 0  0  2  0  0  0  2  2  2  2  2  0  2  2  0  0  0  0  2  2  0  0  2  2  0  0
 0  0  0  2  0  2  2  2  0  0  0  0  2  2  2  2  0  2  2  0  0  2  0  0  2  0
 0  0  0  0  2  2  0  2  2  0  2  2  2  0  0  2  2  2  0  0  0  0  0  2  2  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+30x^24+192x^26+30x^28+1x^32+2x^36

The gray image is a code over GF(2) with n=208, k=8 and d=96.
This code was found by Heurico 1.16 in 0.016 seconds.