The generator matrix 1 1 1 1 1 0 7 0 0 0 0 0 7 0 0 0 0 0 7 0 0 0 0 0 7 generates a code of length 5 over Z49 who´s minimum homogenous weight is 7. Homogenous weight enumerator: w(x)=1x^0+30x^7+360x^14+2160x^21+6480x^28+100842x^30+7776x^35 The gray image is a code over GF(7) with n=35, k=6 and d=7. This code was found by Heurico 1.16 in 0.114 seconds.