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 3 1 1 1 1 3 1 1 3 1 1 1 1 1 3 1 1 3 3 3 1 1 1 1 1 1 1 1 0 9 0 0 0 0 0 0 0 0 0 0 0 0 9 18 18 9 18 18 18 9 18 18 9 9 9 0 9 9 9 18 0 0 18 9 9 18 0 18 9 0 9 9 18 0 0 0 18 9 0 18 9 0 0 0 9 9 18 9 0 9 0 18 18 18 0 9 9 0 18 9 18 9 9 9 18 18 0 18 9 9 0 0 0 9 0 0 0 9 9 0 9 0 0 0 9 0 0 0 0 0 0 0 0 9 18 18 18 18 0 9 0 9 9 18 18 0 9 9 18 18 18 18 18 18 9 18 0 9 18 0 18 0 9 9 0 18 0 9 0 9 0 9 9 18 0 0 9 18 9 9 0 0 0 18 0 0 18 18 9 18 18 18 18 18 18 18 0 9 18 18 9 0 0 18 0 9 0 0 18 9 0 18 0 0 18 0 0 0 0 9 0 0 0 0 9 18 18 18 0 0 9 0 9 18 9 18 18 18 0 9 9 0 18 9 0 0 0 9 9 9 18 18 18 0 9 0 18 0 18 0 18 9 0 9 0 9 9 18 18 0 0 9 0 0 9 9 18 18 9 18 9 0 18 0 9 9 9 9 0 0 18 0 9 9 0 18 18 0 18 18 18 18 18 0 18 9 18 9 0 0 0 0 0 0 9 0 0 9 18 0 18 0 0 18 18 9 9 9 18 9 0 18 18 9 0 0 0 9 0 0 18 9 9 9 0 0 18 0 18 18 0 18 18 9 9 18 9 0 9 18 9 0 18 18 9 9 9 0 18 0 0 0 0 18 9 0 18 0 18 0 9 9 9 9 0 9 9 0 0 0 18 9 9 18 0 0 9 9 9 0 9 9 18 0 0 0 0 0 0 9 0 18 18 9 0 18 18 18 18 18 18 0 9 0 0 18 0 18 9 9 18 18 9 0 0 18 18 18 18 0 0 18 9 0 0 18 18 9 18 0 9 9 18 9 0 0 18 18 0 9 9 9 0 9 9 0 9 18 0 0 0 0 9 18 0 0 18 18 9 18 9 18 18 0 0 0 0 0 9 18 18 0 0 18 9 0 9 9 0 0 0 0 0 0 9 18 18 18 18 18 18 9 9 9 0 18 0 0 9 0 18 9 9 9 9 18 0 0 9 18 0 9 18 18 9 9 18 18 9 0 18 9 0 9 0 0 9 18 9 9 9 9 0 9 9 0 18 18 0 18 18 0 18 0 0 18 9 18 9 0 0 9 18 18 9 9 9 9 9 18 18 9 9 0 18 18 9 9 0 0 9 18 generates a code of length 94 over Z27 who´s minimum homogenous weight is 168. Homogenous weight enumerator: w(x)=1x^0+38x^168+144x^171+218x^174+244x^177+382x^180+760x^183+1274x^186+13122x^188+1500x^189+1112x^192+332x^195+108x^198+88x^201+100x^204+76x^207+70x^210+44x^213+20x^216+18x^219+18x^222+6x^225+2x^228+2x^231+2x^234+2x^261 The gray image is a code over GF(3) with n=846, k=9 and d=504. This code was found by Heurico 1.16 in 5.42 seconds.