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 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 7 35 0 7 28 28 21 7 35 35 28 21 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 14 28 28 7 35 28 0 14 14 35 7 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 42 0 14 42 14 21 35 0 28 21 14 21 generates a code of length 57 over Z49 who´s minimum homogenous weight is 322. Homogenous weight enumerator: w(x)=1x^0+360x^322+516x^329+432x^336+14406x^342+306x^343+204x^350+192x^357+132x^364+132x^371+42x^378+66x^385+12x^392+6x^399 The gray image is a code over GF(7) with n=399, k=5 and d=322. This code was found by Heurico 1.16 in 0.275 seconds.