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 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 4 1 0 1 1 4 1 1 0 2 0 0 0 0 0 0 0 0 0 0 4 4 4 4 0 4 4 0 0 2 2 6 2 6 6 2 6 2 6 2 2 0 2 2 2 0 2 0 0 2 0 2 4 0 4 4 2 2 2 4 4 0 0 0 2 0 0 0 0 0 0 0 0 4 0 4 6 2 2 6 2 6 6 4 6 0 2 6 2 0 2 2 4 6 4 2 6 0 4 2 2 0 4 6 2 0 0 4 2 4 6 6 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 6 2 2 0 6 6 4 2 4 6 2 2 6 0 6 0 4 2 4 0 4 6 2 4 6 4 0 6 6 4 6 0 2 2 0 0 4 2 4 6 6 0 4 0 0 0 0 2 0 0 4 6 2 2 2 2 0 2 2 0 4 6 2 0 2 0 4 0 2 6 6 4 6 4 6 6 6 0 2 0 6 4 6 6 4 0 4 0 6 2 6 2 6 2 6 2 4 0 0 0 0 0 2 0 6 6 6 4 0 0 0 0 0 0 0 0 4 4 0 0 0 0 4 4 4 6 6 2 6 4 6 6 6 6 2 0 6 4 2 2 4 2 6 2 4 6 6 0 4 2 0 0 0 0 0 0 0 2 2 4 6 2 0 2 2 0 6 6 2 4 2 4 4 6 0 2 0 6 4 6 4 6 2 2 2 0 4 4 4 4 4 2 4 6 6 6 0 2 6 0 6 6 6 6 0 generates a code of length 54 over Z8 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+62x^42+114x^43+251x^44+436x^45+489x^46+606x^47+742x^48+730x^49+1107x^50+1770x^51+2955x^52+4476x^53+5138x^54+4544x^55+3039x^56+1806x^57+1097x^58+870x^59+716x^60+554x^61+454x^62+330x^63+222x^64+120x^65+97x^66+22x^67+10x^68+6x^69+3x^70+1x^98 The gray image is a code over GF(2) with n=216, k=15 and d=84. This code was found by Heurico 1.16 in 47.5 seconds.