The generator matrix 1 0 0 1 1 1 1 1 1 15 1 1 1 0 1 0 15 1 16 17 9 20 1 7 5 6 0 0 1 16 1 15 20 17 6 16 14 25 21 generates a code of length 13 over Z27 who´s minimum homogenous weight is 21. Homogenous weight enumerator: w(x)=1x^0+48x^21+804x^22+720x^23+2016x^24+2952x^25+5364x^26+3914x^27+3024x^28+720x^29+96x^30+24x^31 The gray image is a code over GF(3) with n=117, k=9 and d=63. This code was found by Heurico 1.16 in 0.116 seconds.