The generator matrix 1 0 0 1 1 1 1 1 0 1 1 1 6 1 1 1 1 1 0 6 1 3 1 3 0 1 1 1 0 1 0 1 0 8 1 8 1 0 7 5 1 6 8 1 0 4 0 1 5 1 2 1 6 6 0 0 0 0 1 8 1 8 1 0 8 8 6 7 7 7 3 1 8 8 1 1 7 2 2 0 1 2 8 0 0 0 0 6 0 0 0 0 0 0 6 3 3 3 6 6 6 3 3 0 3 3 0 0 3 0 0 3 0 0 0 0 6 0 0 0 3 3 6 6 3 6 6 0 3 6 3 3 0 6 6 3 3 0 3 0 0 0 0 0 0 3 0 3 3 0 3 6 6 6 0 0 6 3 0 6 3 0 6 3 0 0 6 0 0 0 0 0 0 0 3 6 3 3 6 0 3 6 3 6 0 0 3 0 0 3 0 0 6 6 3 0 generates a code of length 28 over Z9 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+120x^42+54x^43+114x^44+386x^45+684x^46+450x^47+1010x^48+1626x^49+1386x^50+2676x^51+4572x^52+2580x^53+4286x^54+6948x^55+3654x^56+5532x^57+7134x^58+3042x^59+3684x^60+4014x^61+1572x^62+1566x^63+1170x^64+324x^65+306x^66+42x^67+54x^69+52x^72+10x^75 The gray image is a code over GF(3) with n=84, k=10 and d=42. This code was found by Heurico 1.16 in 14 seconds.