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 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 4 4 2 4 1 1 1 1 1 1 2 1 2 0 1 2 4 4 1 1 0 0 1 1 1 1 4 1 1 1 2 1 0 12 0 4 0 0 4 12 0 0 12 12 0 8 12 8 12 0 4 12 12 12 4 0 8 8 0 4 4 8 0 12 0 8 12 4 8 0 12 8 4 8 12 12 0 0 12 12 0 4 4 4 0 0 4 12 8 12 0 4 4 8 4 0 4 8 4 0 12 8 4 0 0 12 4 0 12 4 0 0 12 12 8 8 12 4 4 0 8 4 4 0 0 12 8 4 12 4 4 8 8 4 0 12 4 0 12 4 12 0 4 4 4 0 0 8 0 4 0 0 12 4 12 4 12 4 0 4 4 8 0 8 12 8 0 0 8 4 4 0 4 4 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 0 8 8 8 8 8 0 0 8 8 0 8 0 0 8 8 8 0 0 8 0 8 0 0 0 8 0 8 8 8 8 8 0 8 8 0 8 8 8 8 0 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 0 8 8 0 0 0 0 0 0 8 0 8 0 0 8 0 8 0 8 8 0 8 0 8 8 0 0 8 0 8 8 8 0 8 8 8 0 8 8 0 0 0 0 0 8 8 8 8 0 8 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 0 0 8 8 0 8 0 8 0 8 0 8 8 8 0 0 0 8 8 8 8 8 0 0 8 0 8 8 0 0 0 8 0 8 0 0 0 8 8 8 0 8 8 0 8 0 0 8 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 0 8 0 8 8 0 8 8 0 0 8 0 0 0 8 8 8 8 0 8 0 0 8 0 0 8 8 0 0 8 8 0 0 0 0 8 0 0 8 8 0 0 8 8 0 0 8 8 8 0 0 0 0 0 0 0 8 0 0 8 0 8 8 0 0 0 8 8 0 8 0 8 0 0 0 8 8 0 8 0 8 8 0 0 0 8 0 0 8 8 0 0 0 8 8 8 8 8 8 8 0 0 0 8 0 0 8 0 0 0 8 8 8 0 0 0 0 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 0 8 8 0 8 8 0 8 0 8 0 0 8 0 0 0 8 8 0 8 0 0 0 8 0 8 0 8 0 0 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 8 0 0 8 8 0 0 0 0 8 8 8 8 8 0 8 0 8 0 8 0 8 0 8 8 8 8 8 0 8 8 8 8 0 0 8 0 8 8 8 8 0 8 0 0 8 8 8 8 8 0 8 generates a code of length 71 over Z16 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+63x^58+36x^59+156x^60+186x^61+244x^62+312x^63+404x^64+572x^65+833x^66+1420x^67+2235x^68+3366x^69+4231x^70+4578x^71+4328x^72+3390x^73+2312x^74+1476x^75+772x^76+542x^77+351x^78+308x^79+207x^80+112x^81+109x^82+60x^83+67x^84+18x^85+34x^86+2x^87+18x^88+6x^89+11x^90+2x^92+3x^94+2x^96+1x^102 The gray image is a code over GF(2) with n=568, k=15 and d=232. This code was found by Heurico 1.16 in 32.4 seconds.