The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 7 1 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 14 1 1 1 1 1 1 1 7 42 1 1 0 1 1 31 16 48 4 19 0 36 31 16 48 4 19 1 19 16 48 36 26 1 4 1 0 31 1 38 7 26 36 21 9 46 6 21 29 38 32 9 6 8 11 2 1 38 6 12 20 21 14 17 1 1 3 7 0 0 35 0 35 7 35 7 42 14 7 42 0 0 42 14 21 28 14 21 28 7 7 28 14 14 7 14 21 35 42 14 14 0 42 42 0 7 7 35 42 21 28 42 7 28 35 0 28 35 35 14 35 35 35 21 0 0 0 7 28 28 21 42 0 42 7 42 35 28 21 21 42 21 35 35 35 21 0 28 35 28 35 21 42 14 35 42 14 14 28 21 0 28 42 0 0 21 42 7 28 14 7 35 35 35 42 0 21 35 0 14 generates a code of length 56 over Z49 who´s minimum homogenous weight is 315. Homogenous weight enumerator: w(x)=1x^0+420x^315+420x^316+546x^317+3150x^321+1488x^322+2688x^323+1386x^324+8190x^328+3024x^329+5880x^330+3150x^331+23562x^335+6072x^336+11424x^337+5880x^338+22722x^342+5178x^343+8400x^344+3444x^345+222x^350+150x^357+126x^364+48x^371+54x^378+24x^385 The gray image is a code over GF(7) with n=392, k=6 and d=315. This code was found by Heurico 1.16 in 4.85 seconds.