The generator matrix 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 3 1 1 1 1 0 1 1 1 1 3 1 1 1 0 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1 1 1 6 1 1 0 3 3 1 1 1 1 6 1 3 3 1 1 1 3 1 1 0 1 1 8 0 1 8 1 7 1 0 8 2 7 0 1 1 0 8 7 0 1 7 8 8 3 1 4 3 6 1 3 7 2 8 1 4 8 7 6 3 5 4 2 6 0 5 2 1 3 2 1 1 1 4 0 1 5 1 4 1 1 7 8 2 0 7 7 0 0 6 0 0 0 0 0 0 0 6 3 3 6 6 6 6 6 6 3 6 3 3 0 3 6 0 6 3 3 6 3 0 0 3 6 6 0 6 6 3 3 6 3 3 6 0 6 6 3 6 6 0 3 0 3 6 0 0 0 0 6 6 0 3 3 0 3 0 0 0 3 0 0 0 3 6 3 0 6 3 6 6 0 6 6 0 0 6 6 0 6 3 0 3 3 0 0 3 3 6 6 6 0 0 6 3 3 3 3 6 0 0 3 3 6 3 3 6 0 3 3 6 3 6 3 0 3 3 6 0 3 3 6 0 0 0 0 0 0 3 0 3 3 3 3 3 6 0 3 3 0 6 0 0 0 3 0 6 0 6 6 6 3 3 3 6 3 3 6 0 0 3 6 3 6 0 6 6 6 6 6 0 6 0 6 6 0 0 0 0 0 0 3 3 3 6 3 0 3 0 6 6 0 0 0 0 0 0 6 6 0 6 3 0 6 3 3 6 6 3 3 6 0 0 0 6 3 0 6 6 0 0 6 6 6 3 0 0 3 0 6 6 0 6 3 0 6 3 3 6 6 3 3 3 0 3 0 0 0 3 3 0 6 0 3 3 0 0 3 6 0 generates a code of length 68 over Z9 who´s minimum homogenous weight is 123. Homogenous weight enumerator: w(x)=1x^0+90x^123+72x^124+78x^125+290x^126+138x^127+204x^128+436x^129+192x^130+198x^131+636x^132+162x^133+180x^134+508x^135+264x^136+234x^137+556x^138+246x^139+264x^140+600x^141+234x^142+174x^143+260x^144+84x^145+102x^146+120x^147+48x^148+24x^149+62x^150+18x^151+30x^153+16x^156+8x^159+18x^162+4x^165+8x^168+2x^174 The gray image is a code over GF(3) with n=204, k=8 and d=123. This code was found by Heurico 1.16 in 0.788 seconds.