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 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 14 7 28 14 21 28 0 0 28 7 7 21 0 28 42 28 0 42 28 21 21 42 7 14 14 21 0 28 35 35 7 21 7 21 35 21 7 14 35 28 35 35 42 42 7 28 42 35 0 14 14 0 0 21 35 14 42 7 14 28 42 42 14 0 21 28 7 42 42 21 14 28 7 35 14 28 35 28 0 0 28 35 14 0 0 7 0 35 28 21 35 42 21 21 21 35 35 28 0 0 21 7 28 14 7 7 35 0 7 7 7 35 0 35 14 28 28 21 28 14 7 28 7 28 21 0 14 14 21 0 42 35 28 0 21 21 7 35 35 28 7 14 14 0 35 7 14 28 14 14 28 14 35 7 28 35 35 21 7 42 14 14 14 14 0 0 21 21 28 35 21 28 21 14 35 21 35 0 42 28 14 0 0 0 0 7 35 7 14 42 42 28 7 0 14 42 42 35 7 14 35 7 7 21 14 28 35 35 14 0 35 28 14 28 21 42 7 21 14 42 14 42 35 21 14 21 7 21 28 0 28 42 35 35 21 21 42 35 14 0 7 42 21 21 7 21 7 28 42 14 42 21 21 28 0 0 7 14 21 14 35 14 21 42 42 7 35 14 0 28 21 35 0 0 0 14 42 42 21 14 0 generates a code of length 99 over Z49 who´s minimum homogenous weight is 574. Homogenous weight enumerator: w(x)=1x^0+432x^574+540x^581+456x^588+14406x^594+282x^595+174x^602+138x^609+84x^616+96x^623+60x^630+30x^637+24x^644+18x^651+24x^658+12x^665+12x^672+12x^679+6x^693 The gray image is a code over GF(7) with n=693, k=5 and d=574. This code was found by Heurico 1.16 in 96.6 seconds.