The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 0 1 1 1 1 1 21 1 1 1 24 1 24 1 1 1 1 0 1 1 1 1 1 1 21 1 1 24 1 1 1 1 0 1 1 1 1 24 1 1 6 1 0 1 1 6 1 1 1 1 21 1 1 1 1 1 24 1 1 1 0 1 7 26 21 4 20 1 24 19 23 1 1 0 16 26 20 4 1 24 19 23 1 21 1 4 0 23 19 1 20 21 16 26 23 16 1 24 0 1 4 26 21 16 1 19 21 4 23 1 19 0 1 16 1 25 13 1 5 13 8 24 1 7 14 10 13 1 1 4 0 16 0 0 9 0 0 0 18 18 9 9 9 0 9 0 9 0 9 9 18 0 18 0 0 0 0 18 0 18 0 18 9 9 9 18 0 9 0 0 18 9 0 9 9 18 18 0 9 0 18 9 18 18 0 18 9 9 18 18 0 18 9 18 18 0 9 0 18 9 0 9 18 18 0 0 0 9 0 0 18 18 18 0 9 9 18 9 18 0 18 9 18 18 0 9 0 0 9 18 18 0 18 9 0 9 18 9 0 9 18 18 18 0 9 0 0 18 0 9 18 9 18 9 9 9 0 9 9 18 0 0 0 0 9 0 0 9 9 18 9 18 9 18 18 18 0 0 0 0 18 0 18 9 9 18 18 9 0 0 0 18 0 0 9 18 0 18 18 18 0 18 18 18 0 9 0 18 9 18 9 9 18 0 9 18 9 0 18 9 9 18 0 0 0 9 18 9 18 18 18 0 9 0 0 18 9 0 9 18 9 18 9 0 9 9 9 9 0 0 0 0 0 9 18 0 18 18 18 18 18 18 9 9 18 0 18 9 9 9 9 18 9 0 0 0 9 18 9 0 0 18 9 0 18 18 9 9 9 0 0 18 18 0 0 0 9 9 9 0 0 0 0 0 9 9 0 9 18 18 0 18 9 9 9 18 0 9 18 18 generates a code of length 72 over Z27 who´s minimum homogenous weight is 130. Homogenous weight enumerator: w(x)=1x^0+54x^130+18x^131+252x^132+132x^133+234x^134+848x^135+666x^136+1002x^137+1846x^138+2196x^139+3258x^140+4130x^141+4884x^142+5538x^143+6468x^144+6456x^145+5892x^146+4966x^147+3696x^148+2658x^149+1948x^150+678x^151+276x^152+514x^153+108x^154+72x^155+66x^156+48x^157+6x^158+22x^159+30x^160+12x^162+6x^163+26x^165+16x^168+12x^171+8x^174+2x^177+2x^180+2x^186 The gray image is a code over GF(3) with n=648, k=10 and d=390. This code was found by Heurico 1.16 in 11.8 seconds.