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 7 1 1 1 7 1 1 1 1 1 7 1 0 7 0 0 0 7 7 28 0 21 7 42 14 42 0 28 7 42 7 28 28 35 28 7 14 14 28 35 28 42 42 7 14 42 0 0 35 28 7 42 42 14 14 14 7 7 7 28 7 7 42 28 28 21 42 7 0 0 0 7 0 0 35 28 35 7 28 35 35 7 7 7 21 42 21 21 35 0 28 0 7 7 0 0 42 21 14 42 7 0 7 35 35 21 7 28 14 35 0 28 35 35 35 28 21 7 28 0 7 0 14 0 42 0 0 0 0 7 0 35 21 21 35 35 7 42 0 14 42 21 7 21 21 7 7 0 7 14 35 35 21 42 35 28 21 0 0 35 0 14 0 42 21 21 35 14 35 0 7 7 42 0 28 7 14 42 14 0 7 7 0 0 0 0 0 7 35 42 7 42 7 7 0 14 7 7 42 28 0 28 14 21 35 42 35 7 0 14 21 28 7 7 0 14 0 42 21 14 42 21 0 28 21 35 7 21 0 21 35 14 0 42 0 35 28 7 21 0 generates a code of length 57 over Z49 who´s minimum homogenous weight is 301. Homogenous weight enumerator: w(x)=1x^0+114x^301+636x^308+1320x^315+1608x^322+294x^324+1866x^329+5292x^331+1878x^336+31752x^338+2340x^343+63504x^345+2166x^350+1830x^357+1500x^364+978x^371+444x^378+114x^385+12x^392 The gray image is a code over GF(7) with n=399, k=6 and d=301. This code was found by Heurico 1.16 in 12.5 seconds.