The generator matrix 1 0 0 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 35 1 1 1 1 42 1 1 7 1 1 1 21 1 1 1 1 1 1 1 0 1 0 35 21 42 7 14 1 17 30 18 5 36 31 4 8 3 16 46 44 12 29 45 41 1 5 15 6 13 26 23 4 38 1 46 9 12 27 1 10 20 1 37 29 32 1 40 34 21 43 34 26 28 0 0 1 36 31 16 34 18 25 4 11 39 46 12 7 38 9 19 27 40 29 44 1 13 2 24 47 24 36 6 21 3 15 37 25 28 26 20 33 5 10 0 20 44 42 48 30 43 45 26 20 4 31 7 generates a code of length 54 over Z49 who´s minimum homogenous weight is 310. Homogenous weight enumerator: w(x)=1x^0+2688x^310+5502x^311+1344x^312+252x^314+24x^315+13104x^317+16254x^318+2142x^319+672x^321+168x^322+15120x^324+16842x^325+2268x^326+1134x^328+144x^329+18480x^331+19026x^332+2478x^333+6x^350 The gray image is a code over GF(7) with n=378, k=6 and d=310. This code was found by Heurico 1.16 in 3.9 seconds.