The generator matrix 1 0 0 1 1 1 2 1 1 1 6 1 2 6 1 1 4 0 1 1 4 1 2 6 4 1 1 1 1 1 1 6 2 6 1 1 0 1 1 1 1 1 2 1 4 1 1 0 6 4 1 1 0 1 1 1 1 1 4 1 1 4 4 1 1 1 1 6 2 2 2 1 0 1 0 2 1 3 1 0 1 6 4 1 1 1 3 4 1 1 2 3 2 6 2 1 1 5 7 6 7 0 6 2 1 1 1 0 1 1 5 3 2 0 1 2 6 5 3 1 0 2 2 2 6 0 1 6 2 2 0 6 7 1 1 3 2 0 1 1 1 4 0 0 0 0 1 1 3 6 1 6 1 3 1 2 2 3 3 1 2 3 2 0 1 3 1 0 1 0 1 0 1 3 4 1 1 6 6 4 5 4 3 3 3 5 3 1 1 2 2 6 1 1 6 1 1 5 7 4 0 3 1 3 0 2 6 7 4 2 0 1 1 0 4 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 4 0 4 4 0 0 0 0 0 0 4 0 4 4 4 0 4 4 0 4 4 0 4 4 0 0 0 4 4 0 4 0 4 4 4 0 4 4 4 0 0 0 0 0 0 4 0 4 4 0 4 0 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 0 0 4 4 4 0 0 4 4 4 0 4 4 4 4 4 4 0 4 0 4 4 0 0 0 0 4 0 0 4 0 4 4 0 0 4 4 4 4 4 4 4 4 4 0 0 4 4 0 0 4 4 4 4 4 4 4 4 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 0 4 0 4 4 0 4 0 4 0 4 4 4 0 0 4 0 4 4 4 4 4 4 4 0 4 0 0 4 0 0 4 0 0 4 0 0 4 4 4 4 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 4 4 4 4 0 0 4 4 0 4 0 4 4 0 0 4 4 0 4 4 0 0 0 4 0 4 0 4 4 0 0 4 0 4 0 4 4 0 0 0 0 4 0 0 4 4 4 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 0 0 0 0 4 4 4 4 0 4 0 4 4 0 0 4 0 0 4 0 4 0 0 4 0 0 0 4 0 4 0 4 4 0 4 4 0 0 4 4 4 4 0 0 4 0 4 0 0 4 4 0 4 0 0 4 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 0 4 4 4 4 4 4 4 4 0 4 0 0 0 4 0 0 4 0 0 4 0 0 4 0 4 0 4 0 4 0 4 0 0 4 4 4 0 4 0 4 4 0 0 0 0 0 4 4 0 4 4 0 4 4 0 0 0 0 generates a code of length 72 over Z8 who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+56x^60+120x^61+160x^62+478x^63+450x^64+1154x^65+797x^66+2086x^67+1483x^68+2698x^69+2060x^70+3612x^71+2349x^72+3714x^73+2101x^74+2944x^75+1340x^76+2096x^77+849x^78+970x^79+381x^80+410x^81+143x^82+138x^83+67x^84+46x^85+22x^86+12x^87+11x^88+2x^89+7x^90+6x^92+5x^94 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 41.7 seconds.