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 3 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 3 1 1 1 3 1 3 3 1 3 1 1 3 1 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 3 6 6 3 6 6 6 3 3 6 3 6 0 3 6 0 3 3 6 6 0 6 6 3 3 6 3 0 3 3 0 0 0 3 6 0 6 3 0 3 0 6 6 6 6 3 0 3 0 0 3 0 0 0 0 0 0 0 0 3 6 6 6 6 0 3 0 3 3 6 3 6 0 3 3 6 0 3 3 0 3 3 3 3 0 0 6 6 3 3 0 3 0 0 3 0 0 3 3 6 3 0 0 6 6 0 6 6 6 0 0 0 0 3 0 0 0 0 3 6 6 6 0 0 3 0 3 6 3 6 6 6 6 0 0 0 6 3 6 6 3 6 6 3 3 0 3 3 0 6 6 0 0 0 0 6 3 3 0 6 0 6 6 6 3 3 6 6 0 0 6 0 0 0 0 0 3 0 0 3 6 0 6 0 0 6 6 3 3 3 6 3 0 6 3 6 3 0 6 3 6 6 0 0 0 0 6 6 0 3 6 3 6 0 0 3 6 0 6 3 0 3 3 6 0 0 6 0 0 6 3 0 0 6 0 0 0 0 0 3 0 6 6 3 0 6 6 6 6 6 6 0 3 0 0 6 6 0 6 3 3 6 6 6 6 6 6 0 3 0 0 0 0 3 6 0 3 3 6 6 6 6 3 6 3 0 0 6 6 6 6 0 0 6 6 6 0 0 0 0 0 0 3 6 6 6 6 6 6 3 3 3 0 6 0 0 3 0 6 6 6 0 6 0 6 6 0 6 3 0 6 6 6 0 0 3 0 6 6 0 3 3 0 6 6 0 3 6 0 3 3 6 0 6 0 0 6 0 generates a code of length 62 over Z9 who´s minimum homogenous weight is 108. Homogenous weight enumerator: w(x)=1x^0+136x^108+194x^111+36x^112+238x^114+156x^115+266x^117+450x^118+194x^120+900x^121+192x^123+1128x^124+168x^126+1116x^127+172x^129+468x^130+148x^132+120x^133+148x^135+100x^138+104x^141+58x^144+40x^147+18x^150+6x^153+2x^156+2x^159 The gray image is a code over GF(3) with n=186, k=8 and d=108. This code was found by Heurico 1.16 in 42.9 seconds.