The generator matrix 1 0 1 1 1 0 1 1 4 1 0 1 2 1 1 6 1 1 6 1 1 1 1 2 1 0 1 4 1 1 1 1 4 1 2 1 4 4 1 1 1 1 2 1 1 1 1 1 1 1 4 0 1 1 1 1 1 1 2 1 0 1 2 1 1 1 0 1 0 1 1 0 1 1 3 0 1 3 1 0 1 2 7 1 1 2 1 6 5 3 6 1 2 1 7 1 3 0 7 6 1 5 1 5 1 1 2 5 6 2 1 0 7 5 7 4 7 4 1 4 6 5 4 6 2 4 1 0 4 2 1 6 6 2 1 0 0 0 2 0 0 0 0 6 2 2 2 2 4 2 6 6 4 4 4 0 6 4 6 6 4 4 0 6 4 0 6 6 2 0 6 0 2 0 4 2 4 6 6 6 6 4 2 4 6 4 4 2 2 4 6 4 4 6 0 0 2 0 4 0 2 4 6 0 0 0 0 2 0 6 2 6 2 6 4 0 2 2 0 0 4 2 0 0 6 6 4 6 0 2 2 0 4 2 2 6 2 4 0 6 0 6 4 0 6 4 2 6 0 0 4 2 4 2 0 0 0 6 0 6 6 2 6 2 2 0 2 4 4 0 2 0 0 0 0 0 2 0 2 6 2 4 6 2 0 2 0 6 6 4 4 4 0 2 2 6 2 6 4 0 0 2 6 0 6 4 0 4 0 4 6 0 2 2 0 0 2 2 2 4 4 4 2 6 4 0 6 6 4 4 6 6 6 4 0 6 4 6 0 0 0 0 0 0 0 4 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 0 0 0 4 4 4 4 0 4 4 4 0 4 4 0 4 4 0 4 0 0 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 4 0 0 4 0 4 4 4 4 4 4 0 0 4 0 0 4 0 0 4 0 4 4 0 4 0 0 4 4 0 4 4 0 4 4 4 0 4 0 0 4 0 0 0 4 0 4 4 4 4 0 0 0 0 4 0 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 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 0 4 4 4 4 4 0 4 0 4 0 4 4 0 4 0 0 4 0 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+66x^56+130x^57+214x^58+368x^59+562x^60+712x^61+1010x^62+1450x^63+1903x^64+2430x^65+2910x^66+3072x^67+3126x^68+3174x^69+2844x^70+2444x^71+1974x^72+1438x^73+950x^74+704x^75+482x^76+268x^77+220x^78+138x^79+72x^80+34x^81+34x^82+16x^83+6x^84+6x^85+4x^86+4x^90+2x^94 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 47.7 seconds.