The generator matrix
1 1 1 1 1 1 1 1 X 1 X 1 1 1 X X X X^2 X^2 X 0 2 1 1 1 1
0 X^2+2 2 X^2 0 X^2+2 2 X^2 X^2+2 0 X^2 2 X^2+2 X^2 0 2 X^2+2 X^2+2 X^2 X^2 X^2 X^2 0 2 0 2
generates a code of length 26 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 26.
Homogenous weight enumerator: w(x)=1x^0+56x^26+5x^28+1x^32+1x^36
The gray image is a code over GF(2) with n=208, k=6 and d=104.
This code was found by Heurico 1.16 in -6.48e-008 seconds.