The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 0 1 1 1 1 1 21 1 24 1 1 1 24 1 1 1 0 1 1 21 1 1 1 24 1 1 1 1 21 1 1 1 1 1 1 1 21 24 1 1 0 1 1 0 1 12 12 9 12 1 1 1 1 1 1 1 9 1 1 1 1 1 1 1 6 1 1 0 1 0 1 7 26 21 4 20 1 24 19 23 1 1 0 16 26 20 4 1 21 1 23 24 19 1 4 26 0 1 16 24 1 20 19 21 1 21 19 16 23 1 20 4 0 12 26 24 4 1 1 6 19 1 21 13 1 10 1 1 1 1 19 26 22 16 12 10 0 1 24 16 20 7 11 11 23 1 21 3 1 0 0 0 9 0 0 0 18 18 9 9 9 0 9 0 9 0 9 9 18 18 9 9 0 9 0 18 0 0 0 0 9 18 0 18 18 0 0 9 9 0 9 18 18 18 18 18 0 18 0 18 18 18 0 18 18 9 0 9 9 0 18 18 9 18 0 9 18 9 9 0 0 9 9 18 9 0 0 0 18 0 0 0 0 0 9 0 0 18 18 18 0 9 9 18 9 18 0 18 9 18 0 18 0 18 18 0 0 0 18 18 18 9 18 9 0 9 9 18 9 0 0 9 0 0 0 9 9 18 0 9 18 9 18 0 18 18 0 9 0 18 0 9 9 0 18 9 0 18 0 9 0 0 18 18 9 18 18 9 0 0 18 0 0 0 0 0 18 0 18 9 9 18 18 9 0 0 0 18 0 0 9 9 9 18 18 9 18 0 9 9 0 18 18 18 0 0 18 0 18 9 9 0 18 18 9 0 0 9 9 9 18 0 18 0 18 0 0 0 0 9 9 9 9 9 18 18 18 18 9 9 18 0 9 9 9 0 0 0 18 9 9 18 0 0 0 0 0 0 9 18 0 18 18 18 18 18 18 9 9 18 0 18 9 18 0 0 0 9 9 9 9 9 18 0 18 9 0 18 9 9 18 18 18 0 0 18 18 9 9 18 9 9 0 0 9 0 9 0 0 18 9 9 9 18 0 9 9 9 9 0 0 9 18 9 9 18 18 9 18 18 18 0 18 0 generates a code of length 81 over Z27 who´s minimum homogenous weight is 147. Homogenous weight enumerator: w(x)=1x^0+48x^147+12x^148+166x^150+336x^151+270x^152+800x^153+1212x^154+1260x^155+1866x^156+2610x^157+2664x^158+3930x^159+4974x^160+5040x^161+5506x^162+7170x^163+5220x^164+4748x^165+3726x^166+2520x^167+2156x^168+1410x^169+522x^170+254x^171+312x^172+94x^174+78x^175+36x^177+30x^178+26x^180+14x^183+4x^186+8x^189+12x^192+8x^195+2x^198+4x^201 The gray image is a code over GF(3) with n=729, k=10 and d=441. This code was found by Heurico 1.16 in 13.3 seconds.