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 1 1 1 1 1 1 1 1 7 1 1 0 7 0 0 7 7 28 14 21 0 7 21 21 21 35 14 28 14 0 0 21 14 35 42 7 28 21 0 21 14 28 7 42 7 21 7 14 35 28 0 28 21 28 0 35 28 7 0 35 7 28 35 42 7 35 28 35 35 7 42 0 0 0 7 0 35 28 21 35 42 21 21 21 35 35 28 0 42 42 42 42 35 14 7 14 7 21 0 21 0 28 42 35 35 21 28 7 7 14 35 0 7 21 35 42 0 35 7 28 28 14 28 21 0 14 14 0 35 28 28 42 7 0 0 0 7 35 7 14 42 42 28 7 0 14 42 42 35 7 35 35 42 35 42 0 42 14 0 7 14 14 7 35 42 14 14 28 7 21 7 0 14 21 35 35 7 35 14 42 14 0 42 21 35 35 0 28 28 21 14 7 0 42 generates a code of length 61 over Z49 who´s minimum homogenous weight is 343. Homogenous weight enumerator: w(x)=1x^0+138x^343+534x^350+486x^357+2058x^360+372x^364+12348x^367+228x^371+162x^378+156x^385+114x^392+114x^399+36x^406+42x^413+12x^420+6x^427 The gray image is a code over GF(7) with n=427, k=5 and d=343. This code was found by Heurico 1.16 in 0.306 seconds.