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 1 7 1 7 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 35 1 1 1 1 21 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 0 1 31 1 38 7 36 26 21 9 46 6 6 43 3 46 9 46 0 6 9 31 36 38 26 22 37 20 42 1 24 40 25 41 1 7 28 33 39 38 20 4 2 48 10 11 42 24 6 48 0 0 0 35 0 35 7 35 7 42 14 7 42 0 0 42 14 21 28 14 21 28 7 7 14 28 14 7 14 21 42 35 14 14 0 28 28 0 28 21 14 0 35 35 28 0 35 0 35 28 7 7 7 14 28 14 7 28 21 7 35 7 14 35 28 7 35 7 42 42 42 21 0 0 7 0 0 0 7 28 28 21 42 0 42 7 42 35 28 21 21 42 21 35 35 35 21 0 35 28 28 35 21 42 35 14 42 14 14 0 35 28 14 7 21 35 42 21 0 0 7 14 0 42 42 21 35 28 21 28 7 28 0 0 28 14 14 21 14 42 14 7 42 7 14 35 7 0 7 generates a code of length 74 over Z49 who´s minimum homogenous weight is 420. Homogenous weight enumerator: w(x)=1x^0+342x^420+42x^421+126x^423+336x^424+588x^426+2460x^427+1428x^428+2226x^430+2982x^431+2184x^433+4170x^434+2268x^435+4914x^437+5502x^438+3150x^440+8064x^441+3612x^442+11802x^444+11634x^445+5376x^447+10176x^448+4746x^449+9744x^451+8358x^452+3108x^454+5502x^455+2310x^456+156x^462+126x^469+66x^476+78x^483+12x^490+36x^497+6x^504+18x^511 The gray image is a code over GF(7) with n=518, k=6 and d=420. This code was found by Heurico 1.16 in 6.89 seconds.