The generator matrix
1 0 1 1 1 2 1 1 0 1 1 2 1 1 1 1 1 1 1 1 2 2 0 0 0 2
0 1 1 2 3 1 0 3 1 2 1 1 0 0 2 2 3 3 1 1 0 2 2 0 1 1
0 0 2 0 2 0 2 0 2 2 0 2 0 2 2 0 0 2 2 0 2 2 2 2 0 0
generates a code of length 26 over Z4 who´s minimum homogenous weight is 26.
Homogenous weight enumerator: w(x)=1x^0+24x^26+4x^28+3x^32
The gray image is a code over GF(2) with n=52, k=5 and d=26.
This code was found by Heurico 1.16 in 0.00239 seconds.