The generator matrix 1 1 1 1 1 1 1 1 1 7 1 0 7 0 0 0 7 7 28 0 7 7 0 0 7 0 0 35 28 35 7 42 35 0 0 0 7 0 35 21 21 35 28 35 0 0 0 0 7 35 42 7 42 35 42 generates a code of length 11 over Z49 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+198x^42+1032x^49+1812x^56+14406x^60+5202x^63+86436x^67+5442x^70+3120x^77 The gray image is a code over GF(7) with n=77, k=6 and d=42. This code was found by Heurico 1.16 in 0.908 seconds.