The generator matrix 1 1 1 1 1 1 0 7 0 0 0 7 0 0 7 0 0 35 0 0 0 7 0 35 0 0 0 0 7 35 generates a code of length 6 over Z49 who´s minimum homogenous weight is 14. Homogenous weight enumerator: w(x)=1x^0+90x^14+600x^21+2790x^28+6660x^35+100842x^36+6666x^42 The gray image is a code over GF(7) with n=42, k=6 and d=14. This code was found by Heurico 1.16 in 0.196 seconds.