The generator matrix
1 0 0 1 1 1 2 1 1 0 1 1 2 1 1 1 1 1 1 1 1 0 2 2 2 1
0 1 0 2 1 3 1 0 1 1 2 3 1 2 0 2 0 3 1 3 1 2 0 0 2 0
0 0 1 1 3 2 1 2 1 2 3 0 3 2 3 0 1 3 2 1 0 1 0 2 2 0
generates a code of length 26 over Z4 who´s minimum homogenous weight is 24.
Homogenous weight enumerator: w(x)=1x^0+11x^24+8x^25+15x^26+22x^27+4x^28+1x^34+2x^35
The gray image is a code over GF(2) with n=52, k=6 and d=24.
This code was found by Heurico 1.16 in 0.00163 seconds.