The generator matrix 1 0 1 1 0 1 1 0 0 0 35 0 0 0 0 7 generates a code of length 4 over Z49 who´s minimum homogenous weight is 7. Homogenous weight enumerator: w(x)=1x^0+24x^7+294x^12+216x^14+4116x^18+3528x^19+864x^21+72030x^24+24696x^25+10584x^26+1296x^28 The gray image is a code over GF(7) with n=28, k=6 and d=7. This code was found by Heurico 1.16 in 0.0494 seconds.