The generator matrix 1 0 1 1 1 1 1 1 1 1 1 0 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 1 7 0 1 1 31 16 48 4 19 0 36 31 1 16 19 48 4 36 7 38 26 9 9 6 6 44 7 3 14 34 45 13 29 43 14 43 38 35 45 1 28 29 3 1 46 26 46 32 11 32 40 40 1 0 0 35 21 42 7 14 21 7 28 14 7 35 0 0 28 42 14 42 28 7 21 35 21 14 35 28 42 14 0 28 7 21 0 35 14 35 28 7 14 28 21 14 42 42 0 7 21 35 7 14 35 generates a code of length 52 over Z49 who´s minimum homogenous weight is 301. Homogenous weight enumerator: w(x)=1x^0+72x^301+252x^302+420x^303+1260x^304+882x^305+3150x^306+144x^308+672x^309+630x^310+1008x^311+294x^312+756x^313+48x^315+1134x^316+1008x^317+1848x^318+882x^319+2268x^320+18x^322+30x^329+18x^336+6x^343+6x^350 The gray image is a code over GF(7) with n=364, k=5 and d=301. This code was found by Heurico 1.16 in 95.9 seconds.