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 9 1 1 1 1 1 1 3 3 1 0 3 24 0 21 24 9 6 21 12 24 0 18 21 24 6 9 9 3 21 6 24 6 21 15 3 0 3 9 3 21 21 12 21 3 3 3 24 24 6 24 6 6 15 0 0 9 0 9 18 9 0 21 0 9 0 9 24 15 6 15 21 3 3 12 21 18 9 9 0 18 18 9 12 21 24 6 3 15 21 21 0 0 0 9 0 0 0 0 18 18 9 9 9 18 9 0 9 18 9 0 9 0 9 18 9 18 18 9 18 18 0 18 18 0 9 18 9 0 0 0 18 18 18 9 18 0 0 9 9 9 0 0 9 18 18 9 18 18 9 18 0 9 18 0 9 0 9 18 18 9 18 0 0 0 0 9 9 18 9 9 18 18 18 0 0 0 9 0 9 18 18 9 18 0 9 9 9 0 9 18 0 9 9 18 18 9 0 0 18 18 0 0 18 18 9 9 0 0 18 18 0 9 9 9 0 9 0 0 9 18 18 0 0 9 0 9 0 9 18 9 0 18 18 9 0 9 9 18 9 0 9 9 18 18 18 0 0 0 18 18 0 18 18 0 0 0 0 0 0 18 18 0 9 9 0 9 9 18 9 18 0 18 9 18 0 18 0 9 0 9 9 9 9 18 18 18 18 0 9 18 9 0 9 9 18 0 18 9 0 9 18 18 0 18 18 9 0 0 9 0 0 0 18 0 9 18 0 9 9 9 18 0 9 18 9 9 18 0 9 18 18 18 0 9 18 0 18 generates a code of length 82 over Z27 who´s minimum homogenous weight is 156. Homogenous weight enumerator: w(x)=1x^0+142x^156+84x^157+216x^158+290x^159+186x^160+864x^161+236x^162+864x^164+3084x^165+30x^166+86x^168+78x^169+102x^171+96x^174+48x^175+38x^177+60x^178+48x^180+6x^183+2x^237 The gray image is a code over GF(3) with n=738, k=8 and d=468. This code was found by Heurico 1.16 in 0.627 seconds.