The generator matrix 1 0 0 1 1 1 1 1 1 18 1 1 21 9 1 3 1 1 1 1 1 24 24 1 1 1 0 1 6 12 1 1 1 1 1 3 1 1 1 1 6 12 1 1 1 1 1 1 1 21 24 1 1 12 1 1 1 3 1 1 15 1 1 1 3 1 1 1 1 1 1 1 1 6 1 1 1 0 1 0 0 9 16 17 25 17 1 22 2 1 12 16 1 26 10 21 23 21 1 1 26 10 3 1 20 1 0 11 13 18 13 22 1 3 24 25 8 1 1 6 15 20 5 19 18 1 6 1 6 0 1 2 15 25 1 5 6 1 0 17 15 9 6 2 5 23 20 1 2 20 1 9 1 25 0 0 1 7 17 8 20 1 16 16 21 12 23 1 22 16 26 20 15 25 4 6 8 24 12 2 26 17 9 1 16 13 11 18 20 22 10 18 24 0 22 3 8 11 9 8 9 22 19 1 19 15 10 20 4 10 20 9 14 21 25 1 10 22 1 6 21 26 9 11 12 6 22 2 22 26 11 0 0 0 9 18 18 18 9 9 9 0 0 18 9 0 0 0 0 9 18 18 18 0 18 18 9 9 9 9 18 0 18 0 9 9 18 0 18 0 9 0 18 0 18 0 0 18 18 0 18 9 18 9 9 9 0 9 0 18 9 0 18 18 9 0 9 18 9 0 0 9 18 0 18 9 0 18 generates a code of length 77 over Z27 who´s minimum homogenous weight is 145. Homogenous weight enumerator: w(x)=1x^0+390x^145+504x^146+1794x^147+2868x^148+3228x^149+4288x^150+5430x^151+3192x^152+5252x^153+5916x^154+3804x^155+5714x^156+4962x^157+2874x^158+3206x^159+2610x^160+1158x^161+748x^162+588x^163+294x^164+100x^165+18x^166+24x^168+42x^169+6x^170+14x^171+18x^172+6x^173 The gray image is a code over GF(3) with n=693, k=10 and d=435. This code was found by Heurico 1.16 in 9.42 seconds.