The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 0 0 0
0 2 0 0 0 2 2 2 0 0 0 2 0 2 2 2 0 0 0 2 2 2 2 0 2 2 2
0 0 2 0 2 2 2 0 0 0 2 2 2 2 0 0 0 2 2 2 2 0 0 0 0 0 2
0 0 0 2 2 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 0 0 2 2
generates a code of length 27 over Z4 who´s minimum homogenous weight is 26.
Homogenous weight enumerator: w(x)=1x^0+12x^26+12x^28+4x^30+3x^32
The gray image is a code over GF(2) with n=54, k=5 and d=26.
This code was found by Heurico 1.16 in 0.00185 seconds.