The generator matrix
1 1 1 1 1 1 1 1 1 1 X X X 1 1 1 X X^2 X^2 X^2 X X X 1 1 1
0 2 0 2 0 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 0 2 0 2 0
0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0
generates a code of length 26 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 25.
Homogenous weight enumerator: w(x)=1x^0+12x^25+40x^26+2x^28+4x^29+4x^30+1x^32
The gray image is a code over GF(2) with n=208, k=6 and d=100.
This code was found by Heurico 1.16 in 0.016 seconds.