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 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 7 14 35 0 14 14 21 42 14 0 7 14 7 35 14 42 42 7 35 0 7 28 21 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 35 0 14 14 28 35 21 42 7 14 42 42 21 14 14 42 21 28 42 14 35 28 28 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 42 0 7 35 42 21 35 7 21 14 7 14 0 21 14 21 35 35 42 28 14 0 0 14 7 generates a code of length 54 over Z49 who´s minimum homogenous weight is 301. Homogenous weight enumerator: w(x)=1x^0+174x^301+528x^308+372x^315+354x^322+14406x^324+270x^329+234x^336+162x^343+162x^350+78x^357+48x^364+12x^371+6x^378 The gray image is a code over GF(7) with n=378, k=5 and d=301. This code was found by Heurico 1.16 in 0.262 seconds.