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 2 0 2 0 1 1 2 1 0 1 2 1 1 1 0 1 1 2 1 0 1 1 2 1 1 1 0 1 2 1 1 1 2 2 1 1 1 1 2 1 1 1 2 1 4 0 1 2 1 2 4 2 2 1 1 0 2 0 6 0 6 0 6 0 6 0 6 4 6 6 0 6 0 0 6 0 6 4 6 2 6 2 6 6 6 0 2 2 6 6 2 0 2 4 6 6 0 2 4 6 6 6 4 4 2 0 6 0 6 2 6 6 4 2 4 6 6 4 6 4 2 2 0 2 2 0 2 6 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 4 0 0 0 4 4 0 0 4 0 4 4 4 4 0 4 4 4 4 0 0 4 0 0 4 4 4 4 0 0 0 0 0 4 0 4 4 0 4 4 0 0 0 4 4 0 0 0 0 4 0 0 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 0 0 4 4 4 4 4 0 4 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 0 4 4 0 0 0 4 4 0 4 4 4 4 4 0 0 0 4 0 0 4 4 4 0 4 4 4 4 4 4 4 4 0 0 0 0 0 0 4 0 4 4 4 0 4 0 4 0 4 0 4 0 0 0 4 0 0 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 4 0 0 4 0 4 0 0 0 4 0 4 4 0 4 4 0 4 4 0 4 4 0 0 0 0 0 4 0 4 4 4 4 4 4 0 4 4 4 0 0 4 4 0 0 4 0 4 0 4 4 0 4 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 4 4 0 4 4 4 0 4 4 4 0 4 0 4 4 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 0 0 4 4 4 4 4 0 4 4 4 4 4 4 0 4 0 0 4 4 4 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 0 4 0 4 4 0 0 4 0 4 0 0 4 0 0 4 4 0 4 4 4 0 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 0 4 0 4 4 4 0 4 0 4 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 4 4 4 0 0 4 0 4 4 4 0 4 4 0 0 0 4 0 0 0 0 0 4 4 4 4 4 4 0 4 0 4 0 4 4 4 0 0 0 4 0 4 4 0 4 0 4 4 0 0 0 4 4 4 0 0 4 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 0 4 4 0 4 0 4 4 4 4 4 0 0 4 0 0 0 4 4 0 4 4 0 0 4 0 0 4 4 0 4 4 0 0 4 4 4 0 0 4 4 4 4 4 4 4 4 4 0 4 0 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 4 0 0 4 0 0 0 4 4 0 4 0 4 4 4 0 4 0 0 0 0 4 4 0 4 0 0 0 4 4 4 0 4 0 0 0 4 0 4 4 0 0 0 4 4 0 4 4 4 4 0 4 0 4 0 0 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 4 0 0 4 0 4 0 0 4 0 4 0 4 4 0 4 4 4 4 0 0 4 4 0 4 4 0 4 0 4 0 4 0 0 0 4 0 0 0 0 0 4 0 4 4 4 4 4 0 4 4 0 4 0 4 4 0 4 0 generates a code of length 78 over Z8 who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+50x^60+126x^62+209x^64+355x^66+607x^68+16x^69+1126x^70+144x^71+1829x^72+576x^73+2677x^74+1344x^75+3476x^76+2016x^77+3717x^78+2016x^79+3446x^80+1344x^81+2728x^82+576x^83+1796x^84+144x^85+1091x^86+16x^87+600x^88+326x^90+200x^92+109x^94+56x^96+25x^98+13x^100+7x^102+3x^104+1x^106+2x^108 The gray image is a code over GF(2) with n=312, k=15 and d=120. This code was found by Heurico 1.16 in 86.1 seconds.