The generator matrix 1 0 1 1 1 1 1 21 1 1 24 1 1 1 1 21 1 1 1 0 1 1 1 24 1 1 6 1 1 1 9 1 21 1 1 1 12 1 1 1 1 1 1 1 21 1 1 12 1 1 1 1 1 1 0 24 1 1 1 1 1 1 1 1 1 1 1 1 0 24 9 6 1 1 1 9 1 1 1 12 1 1 1 6 1 1 1 18 1 1 1 9 1 1 1 12 1 0 1 7 26 21 4 20 1 24 23 1 19 24 26 19 1 0 16 20 1 21 4 23 1 9 16 1 11 13 5 1 12 1 24 26 19 1 6 8 10 24 26 6 19 1 10 8 1 0 21 16 4 20 23 1 1 0 21 16 4 9 12 7 13 20 23 11 5 1 1 1 1 9 7 8 1 12 13 11 1 6 10 5 1 18 7 8 1 9 25 17 1 12 22 2 1 0 0 0 9 0 18 18 9 0 0 0 9 18 18 9 9 9 0 9 9 0 18 18 0 9 0 9 9 9 18 0 0 18 9 0 9 18 9 0 0 18 18 0 18 9 0 9 9 0 18 0 18 9 0 9 9 0 18 0 18 9 18 0 18 9 0 9 0 9 9 0 9 0 9 0 18 18 9 0 18 18 9 0 18 18 9 0 18 18 9 0 18 18 9 0 18 18 0 0 0 0 9 0 18 18 9 9 18 9 9 18 0 9 18 18 18 9 18 9 0 0 0 9 9 18 0 9 9 9 18 9 0 9 18 0 18 18 0 0 0 9 0 18 18 18 0 0 18 18 18 18 9 9 9 9 9 0 9 18 0 9 0 0 18 9 0 18 0 0 18 9 0 9 9 0 9 0 18 9 0 9 9 0 9 0 18 18 18 18 0 18 18 18 9 0 generates a code of length 97 over Z27 who´s minimum homogenous weight is 189. Homogenous weight enumerator: w(x)=1x^0+534x^189+720x^190+1116x^191+982x^192+576x^193+198x^194+288x^195+144x^197+570x^198+576x^199+486x^200+288x^201+72x^202+2x^216+8x^219 The gray image is a code over GF(3) with n=873, k=8 and d=567. This code was found by Heurico 1.16 in 0.604 seconds.