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 21 1 1 1 1 1 1 1 1 21 24 1 1 0 1 6 12 1 1 1 0 1 1 1 3 1 9 24 6 15 1 1 15 1 1 1 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 1 23 20 4 0 12 26 24 4 1 1 6 19 1 13 1 1 26 0 23 1 8 10 23 1 8 1 1 1 1 16 21 1 3 21 24 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 9 0 18 18 18 18 18 0 18 0 18 18 18 0 18 18 9 9 18 9 9 18 0 0 9 0 18 0 0 9 18 18 0 0 0 9 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 9 0 0 0 0 9 9 18 0 9 18 9 18 0 18 0 18 0 18 0 18 18 18 0 18 9 9 9 0 9 9 9 18 0 9 0 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 18 0 18 9 0 0 9 9 9 18 0 18 0 18 18 0 9 18 18 0 18 9 0 18 0 9 0 9 9 18 9 0 18 9 9 0 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 0 18 0 18 18 9 9 18 9 9 0 0 9 0 9 18 9 9 18 9 0 9 0 0 0 18 18 0 0 18 0 18 0 18 0 0 9 generates a code of length 76 over Z27 who´s minimum homogenous weight is 138. Homogenous weight enumerator: w(x)=1x^0+30x^138+102x^139+18x^140+214x^141+474x^142+306x^143+1232x^144+1308x^145+2088x^146+2284x^147+2478x^148+4428x^149+4564x^150+4926x^151+7308x^152+6142x^153+4914x^154+5850x^155+3804x^156+2394x^157+1872x^158+1138x^159+630x^160+146x^162+204x^163+32x^165+48x^166+24x^168+18x^169+16x^171+22x^174+18x^177+10x^180+2x^183+2x^189+2x^198 The gray image is a code over GF(3) with n=684, k=10 and d=414. This code was found by Heurico 1.16 in 12.6 seconds.