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 3 3 0 3 3 0 3 3 9 3 3 9 3 3 3 3 3 3 3 0 9 1 1 1 1 3 3 3 1 1 1 1 1 3 3 3 3 1 18 18 3 1 0 3 24 0 21 24 9 21 6 9 12 6 9 12 24 0 3 6 18 21 15 18 12 15 18 3 15 0 21 24 0 21 24 9 12 6 9 12 6 9 21 24 0 12 6 18 18 3 3 15 15 18 3 15 21 24 3 21 24 3 12 6 3 12 6 3 0 9 18 21 12 6 24 3 3 0 0 9 9 18 0 9 21 12 21 12 21 3 15 3 15 12 3 3 18 3 0 0 9 9 18 18 18 9 0 9 0 9 0 9 0 18 18 18 0 0 9 9 18 18 18 9 0 0 18 0 18 9 9 9 0 18 18 9 9 0 0 18 9 18 0 0 9 18 9 0 18 18 0 9 18 0 9 9 9 0 0 18 18 9 9 0 18 18 18 0 18 0 18 18 9 0 9 18 9 9 9 9 18 18 9 9 0 18 9 9 18 0 9 18 0 9 generates a code of length 96 over Z27 who´s minimum homogenous weight is 190. Homogenous weight enumerator: w(x)=1x^0+90x^190+378x^191+10x^192+198x^194+6x^195+18x^197+2x^198+18x^199+2x^201+4x^204+2x^213 The gray image is a code over GF(3) with n=864, k=6 and d=570. This code was found by Heurico 1.16 in 3.88 seconds.