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 2 2 2 0 2 0 0 4 2 2 2 1 1 1 4 0 4 1 2 0 1 1 4 1 1 1 1 1 1 1 1 4 1 1 0 2 0 2 0 0 2 6 0 0 2 6 4 0 6 4 6 4 2 2 6 4 2 2 0 0 4 0 2 2 6 2 0 2 0 6 2 2 4 0 4 2 0 2 6 4 0 0 2 4 2 4 6 2 6 4 2 4 4 4 2 2 2 4 6 4 0 4 0 0 2 2 0 6 2 0 0 6 2 0 2 4 2 4 0 6 2 6 0 6 0 2 0 4 2 2 4 2 6 4 4 2 6 4 6 0 2 2 2 2 6 6 0 6 0 2 2 2 2 6 0 0 4 6 6 0 2 0 2 2 4 6 6 4 4 2 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 4 4 4 4 4 0 4 4 4 0 4 0 4 4 0 4 0 4 0 4 4 0 4 0 4 0 0 4 4 0 0 4 4 0 0 4 4 4 4 4 4 4 0 4 4 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 4 4 4 4 4 0 4 4 4 0 4 4 0 0 0 4 0 4 0 4 0 4 0 4 0 0 4 0 0 4 0 0 4 4 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 0 0 4 0 0 0 4 4 4 4 0 4 0 4 0 4 4 0 0 4 4 0 0 4 4 0 0 4 0 4 4 4 4 0 4 0 0 4 0 0 0 0 4 0 4 4 4 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 0 4 4 0 4 4 0 0 0 4 0 0 4 0 4 4 4 0 0 4 4 4 4 4 0 4 4 0 4 4 4 0 0 0 4 4 0 4 0 0 0 4 0 0 0 0 0 0 0 4 0 0 4 4 4 4 0 0 0 0 0 4 4 4 4 4 4 4 0 0 0 0 4 0 0 0 4 0 4 0 4 4 4 0 0 4 0 0 0 0 4 0 4 4 4 4 4 4 0 0 4 0 0 0 4 0 4 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 0 4 4 4 4 0 4 4 0 0 4 0 0 0 4 0 0 4 0 4 0 4 4 4 4 0 0 4 0 4 4 0 4 4 4 4 0 0 4 4 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 4 4 0 0 4 4 0 4 4 0 0 4 0 0 4 0 0 0 4 0 0 0 0 0 4 4 4 4 4 4 4 4 0 4 4 4 0 0 0 0 0 0 4 0 0 4 4 4 4 4 0 4 0 generates a code of length 68 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+157x^56+268x^58+16x^59+662x^60+96x^61+842x^62+304x^63+1375x^64+656x^65+1806x^66+976x^67+2156x^68+976x^69+1740x^70+656x^71+1483x^72+304x^73+752x^74+96x^75+582x^76+16x^77+202x^78+186x^80+22x^82+37x^84+14x^88+2x^92+1x^100 The gray image is a code over GF(2) with n=272, k=14 and d=112. This code was found by Heurico 1.16 in 18.5 seconds.