The generator matrix 1 0 0 1 1 1 2 1 1 1 1 4 2 6 4 1 1 1 4 1 2 1 6 1 1 1 0 6 1 4 6 1 1 2 4 0 1 4 1 1 6 4 1 6 1 0 1 1 1 2 1 2 1 1 1 4 1 4 0 1 1 1 1 2 2 6 2 1 0 1 0 2 1 3 1 0 1 0 1 2 1 1 1 6 3 4 1 3 2 5 0 6 3 2 1 1 5 1 1 1 6 1 2 1 5 1 3 0 4 4 0 6 6 1 6 3 4 1 6 4 1 1 5 4 1 1 1 3 6 1 7 1 1 1 1 0 0 0 1 1 3 6 1 6 1 3 2 1 2 3 2 0 3 1 1 0 1 0 1 3 5 2 3 0 4 6 3 3 2 2 1 5 0 6 1 5 1 1 4 1 5 0 5 3 3 2 7 1 6 6 5 1 0 2 7 2 6 5 7 2 7 7 1 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 4 4 0 4 4 4 4 0 4 4 0 0 4 0 4 4 0 4 4 0 0 0 0 0 4 0 4 4 4 4 4 4 0 4 0 4 0 4 4 4 0 0 0 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 0 4 0 0 4 4 0 4 0 4 4 0 4 0 4 4 0 4 4 0 0 4 0 4 0 0 0 4 4 4 4 0 4 4 4 0 0 0 0 4 0 0 4 4 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 4 4 0 0 4 4 4 4 4 4 4 0 0 0 4 0 0 4 4 0 0 0 4 4 0 0 4 0 0 4 0 4 4 4 4 4 4 4 4 4 4 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 4 0 0 4 4 4 0 4 4 4 0 0 0 0 0 4 4 4 4 4 0 0 4 4 4 4 0 0 4 4 0 0 4 4 4 4 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 4 0 0 4 4 0 0 4 0 0 0 4 4 0 0 4 0 0 4 0 4 0 4 4 4 0 4 4 0 4 0 4 4 0 4 0 0 0 4 0 4 0 4 4 0 4 0 0 4 0 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 4 0 0 4 4 0 4 0 4 4 4 0 4 0 0 0 4 0 4 4 4 4 4 0 4 4 0 4 0 0 0 0 4 0 4 0 0 0 0 4 4 0 4 0 0 0 4 4 4 4 4 0 0 4 4 0 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+20x^56+66x^57+155x^58+338x^59+558x^60+966x^61+1122x^62+1520x^63+1956x^64+2226x^65+2796x^66+2942x^67+3193x^68+3106x^69+2812x^70+2524x^71+2007x^72+1506x^73+1119x^74+762x^75+380x^76+294x^77+155x^78+100x^79+60x^80+26x^81+26x^82+6x^83+13x^84+2x^85+6x^86+3x^88+1x^94+1x^96 The gray image is a code over GF(2) with n=272, k=15 and d=112. This code was found by Heurico 1.16 in 38.2 seconds.