The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 0 3 24 0 21 24 21 6 0 9 21 24 0 12 15 9 21 6 9 3 9 6 3 6 18 3 24 0 0 9 9 21 21 3 12 24 6 6 24 9 12 24 15 18 3 18 15 9 21 12 24 0 21 6 18 3 15 0 12 15 18 3 15 24 6 0 9 18 6 21 12 3 15 15 18 18 18 15 12 12 12 0 21 24 0 21 24 0 21 24 9 9 12 3 21 0 0 0 9 0 18 0 9 18 9 18 18 0 9 18 18 0 0 18 18 9 9 9 9 0 18 0 9 0 9 18 9 18 9 18 0 18 0 9 18 0 18 18 0 18 9 0 0 9 9 0 9 18 0 9 9 18 18 18 9 18 0 0 0 0 18 18 0 9 0 0 9 18 9 9 0 9 18 9 0 9 18 0 18 0 0 9 0 9 9 9 18 9 0 9 9 0 0 0 0 9 9 9 18 18 18 9 18 18 0 0 9 18 9 0 18 9 9 18 0 0 0 18 9 18 9 0 0 0 0 9 9 0 9 9 18 0 18 9 18 18 18 9 0 18 9 0 18 9 18 0 9 0 0 18 18 18 0 9 9 0 9 0 9 18 18 0 9 18 18 9 18 0 9 0 18 0 9 0 18 0 9 0 9 18 9 18 9 9 9 18 18 9 generates a code of length 96 over Z27 who´s minimum homogenous weight is 186. Homogenous weight enumerator: w(x)=1x^0+50x^186+48x^188+84x^189+216x^190+36x^191+1100x^192+432x^193+54x^194+98x^195+24x^197+38x^198+4x^201+2x^285 The gray image is a code over GF(3) with n=864, k=7 and d=558. This code was found by Heurico 1.16 in 0.574 seconds.