The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 3 1 1 1 1 1 1 0 1 1 1 0 0 1 6 1 1 1 1 1 1 1 1 1 1 1 1 6 3 0 1 0 1 3 1 3 1 1 1 1 0 1 1 8 0 1 8 1 0 7 8 1 0 8 7 1 1 2 0 7 0 7 8 1 0 8 7 1 1 3 1 3 8 7 4 0 6 5 3 8 4 4 4 1 1 3 2 3 0 6 6 0 8 4 0 0 0 0 6 0 0 0 0 0 0 6 3 6 6 6 6 0 6 0 6 6 0 6 6 0 6 0 3 0 6 0 3 0 6 0 3 0 0 6 3 6 3 3 3 3 3 6 3 6 0 6 6 3 6 3 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 6 3 6 3 0 3 3 6 6 3 0 3 3 0 3 0 0 3 6 3 6 6 3 6 3 3 3 3 3 0 6 0 0 0 0 6 3 6 6 6 3 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 6 6 3 0 6 3 6 0 6 3 6 0 6 6 0 6 3 6 6 3 0 3 3 0 3 6 0 6 6 3 3 6 0 3 3 6 3 6 6 3 6 3 0 0 0 0 0 6 0 0 3 6 6 3 6 0 6 6 6 3 0 0 0 3 3 3 0 0 0 3 6 3 6 6 0 0 6 0 0 6 6 6 3 0 0 0 3 6 0 3 0 3 6 0 0 3 0 3 0 0 0 0 0 0 3 0 3 0 3 3 3 6 6 0 3 6 6 0 6 3 6 0 0 6 3 6 0 6 0 3 6 6 3 6 3 3 6 6 6 3 6 3 0 3 6 6 3 6 3 6 0 3 3 0 0 0 0 0 0 0 0 3 3 3 3 0 6 3 6 3 3 3 3 6 6 6 3 0 3 3 6 3 3 0 3 0 0 6 3 6 6 3 3 0 0 3 6 3 0 3 6 0 6 3 0 0 6 6 0 0 generates a code of length 56 over Z9 who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+66x^90+274x^93+24x^94+36x^95+556x^96+84x^97+186x^98+1050x^99+312x^100+528x^101+1794x^102+738x^103+930x^104+3222x^105+1488x^106+1602x^107+4352x^108+2418x^109+2652x^110+5674x^111+2700x^112+2802x^113+5682x^114+2586x^115+2250x^116+4624x^117+1770x^118+1338x^119+2862x^120+750x^121+606x^122+1470x^123+216x^124+174x^125+646x^126+36x^127+18x^128+280x^129+130x^132+88x^135+24x^138+10x^141 The gray image is a code over GF(3) with n=168, k=10 and d=90. This code was found by Heurico 1.16 in 45.3 seconds.