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 0 4 1 1 4 2 0 1 4 2 4 2 2 2 2 1 4 2 1 2 0 1 0 2 1 1 2 1 4 2 1 2 2 1 0 2 0 0 0 2 6 2 0 4 0 2 0 0 6 6 2 0 4 4 6 4 6 2 6 2 6 2 0 2 6 0 0 4 0 2 2 4 4 6 2 4 2 2 2 0 2 0 2 2 2 2 2 4 2 6 2 2 6 6 0 6 2 4 6 6 4 0 0 0 2 0 2 2 6 0 0 0 2 4 0 6 2 0 6 4 6 2 6 2 6 4 0 0 2 4 4 0 4 2 0 0 4 0 6 0 2 4 0 6 4 6 2 2 6 6 6 2 6 6 6 4 0 2 0 6 0 6 0 0 4 0 4 6 2 2 0 0 0 2 2 0 6 2 0 2 2 2 4 4 2 4 0 2 2 4 0 6 6 4 2 6 2 4 2 6 2 4 4 4 2 6 0 6 6 0 4 0 6 0 0 6 4 0 6 2 4 6 2 2 6 6 0 2 4 6 6 0 4 6 4 2 0 6 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 0 0 4 4 4 0 4 4 0 0 0 0 4 4 0 4 0 4 4 0 4 0 4 4 4 0 0 4 0 4 4 4 0 4 0 0 4 4 4 0 0 4 0 4 4 0 4 4 4 0 4 0 0 0 0 0 4 0 0 0 0 4 4 4 0 4 0 4 0 0 0 0 0 4 0 0 0 0 0 0 4 4 0 4 4 4 4 4 4 4 0 0 4 4 4 0 0 4 0 4 4 4 0 4 4 4 0 4 0 4 4 0 0 4 4 4 0 4 0 0 0 0 0 0 0 4 0 0 4 4 4 0 0 0 4 4 0 0 0 0 4 0 0 0 0 4 4 4 0 0 0 0 4 4 4 4 0 0 0 4 4 4 0 4 4 0 0 4 0 0 0 4 4 4 4 4 0 4 0 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 4 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 0 4 0 4 4 0 4 4 0 0 0 4 4 4 0 0 0 4 4 4 4 0 0 4 0 4 0 0 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 0 4 0 0 4 0 4 4 0 4 4 0 0 4 0 0 0 4 4 4 0 4 4 0 0 4 4 0 4 4 0 4 0 4 4 0 0 0 0 4 0 4 4 0 0 0 4 4 4 4 4 0 generates a code of length 68 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+63x^56+104x^57+198x^58+282x^59+376x^60+400x^61+627x^62+694x^63+932x^64+1108x^65+1175x^66+1476x^67+1415x^68+1546x^69+1354x^70+1172x^71+865x^72+672x^73+549x^74+378x^75+332x^76+212x^77+163x^78+86x^79+95x^80+52x^81+21x^82+8x^83+11x^84+2x^85+8x^86+4x^88+1x^90+2x^92 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 18.1 seconds.