The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 2 1 2 1 6 1 1 1 6 1 1 1 2 1 1 2 1 4 1 1 0 0 1 1 1 1 1 0 1 1 1 1 6 4 2 1 1 1 0 1 1 1 6 1 1 1 0 1 1 2 2 1 1 4 0 1 2 2 0 1 1 0 3 1 0 3 1 4 1 1 6 7 1 6 1 7 1 2 5 5 1 2 7 2 1 5 0 1 4 1 1 7 1 1 7 2 6 5 2 1 0 4 5 3 1 1 1 5 5 6 1 5 2 0 1 2 4 4 2 7 5 1 1 2 2 1 1 6 4 0 0 0 2 0 2 0 2 0 6 2 0 2 4 0 6 2 4 2 0 4 0 6 2 6 6 4 2 0 4 0 2 2 2 2 4 6 6 2 4 4 6 6 6 0 4 4 4 6 2 6 4 4 0 4 6 6 0 2 4 6 6 6 2 0 2 6 4 4 0 2 2 0 0 0 0 2 2 6 2 0 0 0 6 2 4 6 0 6 6 4 0 6 4 6 6 0 6 2 4 2 4 6 0 0 4 0 6 2 4 0 4 0 6 2 6 0 0 0 0 0 4 6 6 2 4 0 0 0 2 4 2 6 0 6 0 4 4 4 6 4 0 2 0 0 0 0 0 0 4 0 0 0 0 4 4 0 4 4 0 4 0 4 0 4 0 0 4 4 0 0 4 0 4 0 4 0 0 0 4 4 0 0 4 0 0 4 0 4 4 4 0 0 4 4 0 4 4 0 0 4 0 0 0 4 4 4 0 4 0 0 4 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 0 4 4 4 4 4 4 4 0 4 0 0 0 4 4 4 4 0 0 0 4 4 4 4 0 0 0 0 4 0 4 4 4 4 4 0 4 0 0 0 4 0 4 4 0 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 0 4 0 4 4 4 4 4 0 4 4 4 0 4 0 0 0 0 0 0 4 4 0 0 0 4 0 4 4 4 0 4 4 0 0 0 4 0 0 0 4 0 0 0 4 4 0 4 0 0 4 4 0 4 4 4 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 4 0 4 4 0 4 4 0 0 4 4 0 4 4 0 0 4 0 4 4 0 0 4 0 4 4 4 0 4 4 4 4 0 4 4 0 0 0 4 0 4 0 4 0 4 0 0 0 0 4 0 4 0 0 4 0 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 0 4 4 0 0 0 4 4 4 4 4 4 4 0 0 4 4 4 0 4 0 4 0 0 4 4 4 0 0 0 4 0 0 4 4 4 0 0 0 0 4 0 4 0 generates a code of length 72 over Z8 who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+138x^60+12x^61+398x^62+108x^63+819x^64+488x^65+1474x^66+1176x^67+2268x^68+1888x^69+3283x^70+2432x^71+3781x^72+2520x^73+3300x^74+1944x^75+2366x^76+1108x^77+1364x^78+468x^79+668x^80+128x^81+342x^82+16x^83+172x^84+63x^86+17x^88+12x^90+8x^92+4x^94+2x^96 The gray image is a code over GF(2) with n=288, k=15 and d=120. This code was found by Heurico 1.16 in 51.5 seconds.