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 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1 1 7 1 7 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 36 48 4 1 0 31 38 36 7 26 6 14 1 15 42 15 6 40 6 46 6 27 5 1 20 1 15 9 48 9 23 19 14 9 0 0 0 35 0 35 7 35 7 42 14 7 42 0 0 42 14 21 28 21 14 42 14 21 7 35 21 21 42 21 35 35 14 28 42 21 14 0 42 0 28 28 21 28 0 7 28 35 28 35 28 14 0 0 0 0 0 7 28 28 21 42 0 42 7 42 35 28 21 21 42 21 35 35 14 0 42 0 35 21 7 35 28 7 7 7 28 35 0 14 42 28 14 42 14 28 0 14 14 0 28 7 7 28 28 7 21 generates a code of length 53 over Z49 who´s minimum homogenous weight is 294. Homogenous weight enumerator: w(x)=1x^0+96x^294+168x^297+168x^298+672x^300+792x^301+798x^303+3402x^304+1470x^305+2016x^307+3030x^308+2016x^310+7308x^311+2814x^312+3150x^314+10752x^315+5922x^317+17724x^318+5754x^319+5544x^321+15864x^322+5670x^324+14616x^325+4200x^326+3024x^328+216x^329+138x^336+126x^343+120x^350+36x^357+42x^364 The gray image is a code over GF(7) with n=371, k=6 and d=294. This code was found by Heurico 1.16 in 4.77 seconds.