The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 0 7 0 0 0 0 0 0 7 7 21 7 21 14 35 7 14 14 28 42 42 28 35 14 35 35 21 35 28 21 21 35 42 35 7 7 7 7 0 21 35 42 0 21 0 14 21 7 28 14 0 7 14 0 21 28 21 35 0 14 0 7 42 14 35 0 0 0 7 0 0 7 7 28 35 42 14 14 35 7 42 7 21 0 42 7 28 42 35 0 0 35 7 21 7 7 42 0 42 42 14 42 0 42 28 7 0 28 21 42 21 21 21 42 35 14 7 0 0 7 14 28 28 42 7 28 14 7 35 28 0 0 0 0 0 7 0 35 28 21 35 28 21 42 0 28 42 35 35 35 35 14 0 42 14 7 21 0 42 28 7 0 21 28 35 7 35 42 7 21 7 42 14 28 35 0 21 35 14 7 42 0 14 21 14 7 21 28 42 35 14 0 14 0 42 7 35 0 0 0 0 0 7 35 7 14 14 35 35 0 7 14 0 21 14 42 35 42 14 21 14 28 42 42 14 14 21 35 21 42 35 35 35 21 7 28 42 35 0 42 28 14 35 28 14 42 7 35 0 35 42 7 7 14 28 14 28 0 42 21 21 21 28 42 generates a code of length 66 over Z49 who´s minimum homogenous weight is 357. Homogenous weight enumerator: w(x)=1x^0+228x^357+1128x^364+1296x^371+1866x^378+2058x^384+1938x^385+24696x^391+1806x^392+74088x^398+1878x^399+2022x^406+1890x^413+1272x^420+882x^427+444x^434+132x^441+24x^448 The gray image is a code over GF(7) with n=462, k=6 and d=357. This code was found by Heurico 1.16 in 15.2 seconds.