The generator matrix 1 0 0 1 1 1 1 1 0 1 1 1 1 6 1 3 0 1 1 0 1 0 1 0 8 1 8 1 0 7 5 6 1 8 0 1 6 0 0 0 1 8 1 8 1 0 8 8 6 7 7 7 0 1 8 7 0 0 0 0 6 0 0 0 3 3 0 3 6 6 0 6 3 3 0 3 0 0 0 0 6 0 6 6 3 6 3 3 6 6 0 3 3 3 3 0 0 0 0 0 3 3 3 0 6 3 0 6 6 3 0 6 0 3 generates a code of length 19 over Z9 who´s minimum homogenous weight is 27. Homogenous weight enumerator: w(x)=1x^0+50x^27+48x^28+168x^29+248x^30+198x^31+690x^32+760x^33+774x^34+1986x^35+1692x^36+1308x^37+2802x^38+2246x^39+1368x^40+2334x^41+1222x^42+630x^43+768x^44+282x^45+48x^46+44x^48+16x^51 The gray image is a code over GF(3) with n=57, k=9 and d=27. This code was found by Heurico 1.16 in 0.965 seconds.