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 2 2 2 2 2 4 0 1 4 0 4 1 1 2 1 2 2 2 4 2 2 1 2 1 0 2 0 0 0 0 0 0 0 2 6 2 2 6 6 2 2 2 4 6 4 4 0 4 0 4 6 2 2 2 4 0 2 2 0 0 2 0 0 6 2 0 0 4 6 6 4 4 2 4 0 4 0 4 4 6 6 2 6 2 0 2 6 2 0 0 2 0 0 2 0 0 0 2 6 2 0 0 4 2 2 2 6 0 0 2 0 4 0 6 4 6 6 4 0 6 6 2 6 2 0 6 6 2 4 4 0 2 0 2 6 4 4 2 6 4 2 6 2 4 2 4 2 0 6 6 2 6 0 4 0 0 6 6 0 0 0 2 0 2 2 6 0 2 2 0 4 4 6 6 6 2 2 0 0 4 4 6 0 2 6 4 2 2 6 2 4 0 6 2 2 4 4 6 6 2 0 2 0 2 2 2 6 4 2 2 2 0 2 4 6 4 2 4 4 4 2 2 2 2 6 0 0 0 0 2 2 0 6 2 4 6 6 4 2 4 2 0 2 0 2 6 4 4 4 6 6 0 0 6 0 0 2 4 0 6 0 2 0 0 4 4 6 0 4 0 6 6 0 2 0 0 0 4 6 2 6 4 6 2 0 6 4 0 4 0 6 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 0 4 0 4 0 0 4 0 0 4 0 4 4 0 4 4 0 4 0 0 0 0 0 0 4 0 4 4 0 4 4 4 0 0 4 0 0 0 0 0 4 0 0 4 0 0 4 4 0 0 4 4 4 0 0 4 4 0 0 4 4 4 0 0 0 0 0 4 4 4 4 0 4 0 4 0 0 4 0 0 4 4 0 4 4 0 0 0 0 0 0 0 4 4 0 4 4 4 4 0 0 4 0 0 4 4 4 0 4 0 0 4 4 4 0 0 0 4 4 4 4 4 0 4 0 4 4 4 4 4 4 4 0 0 4 0 0 4 0 4 4 4 4 4 4 4 0 0 0 4 4 0 generates a code of length 67 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+202x^56+488x^58+52x^59+805x^60+156x^61+1152x^62+468x^63+1594x^64+828x^65+1942x^66+1052x^67+1989x^68+884x^69+1546x^70+444x^71+1152x^72+180x^73+678x^74+32x^75+425x^76+174x^78+98x^80+36x^82+5x^84+1x^96 The gray image is a code over GF(2) with n=268, k=14 and d=112. This code was found by Heurico 1.16 in 17.9 seconds.