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 3 1 1 1 1 1 3 1 1 1 1 3 1 1 3 1 1 3 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 6 3 6 3 6 3 0 3 3 6 0 3 6 3 6 3 6 3 3 6 6 3 6 0 0 0 3 3 6 0 3 6 0 0 0 0 3 0 0 0 0 0 0 0 0 3 6 6 0 6 6 3 6 6 6 6 0 3 3 3 0 3 0 6 0 6 0 0 6 0 3 6 0 3 6 3 6 0 3 3 3 0 0 0 0 3 0 0 0 0 3 6 6 6 0 0 0 6 6 0 6 3 6 3 6 6 6 3 6 6 0 0 3 6 0 3 6 6 3 6 0 0 0 6 3 3 3 6 6 0 0 0 0 0 3 0 0 3 6 0 6 0 0 6 0 0 3 6 6 6 6 3 3 3 6 6 0 3 0 6 6 0 6 3 6 3 3 0 3 3 0 6 0 3 6 6 3 0 0 0 0 0 0 3 0 6 6 3 0 6 6 6 6 6 3 3 3 3 6 3 6 3 3 6 6 0 3 6 0 3 3 6 3 6 3 3 6 6 6 3 3 3 0 6 3 3 0 0 0 0 0 0 3 6 6 6 6 6 6 3 3 0 0 0 0 3 3 0 6 0 6 3 0 0 6 6 0 0 3 3 6 0 0 0 3 6 3 0 6 3 3 3 0 6 generates a code of length 48 over Z9 who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+196x^81+148x^84+18x^86+142x^87+180x^89+388x^90+720x^92+152x^93+1440x^95+144x^96+1440x^98+346x^99+576x^101+124x^102+150x^105+238x^108+56x^111+50x^114+44x^117+4x^120+2x^126+2x^129 The gray image is a code over GF(3) with n=144, k=8 and d=81. This code was found by Heurico 1.16 in 79.8 seconds.