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 8 4 0 1 1 2 1 2 1 8 2 1 1 1 1 4 1 2 2 1 1 0 1 2 1 1 1 2 2 1 4 1 1 0 2 1 4 1 1 1 2 12 2 2 1 1 1 1 2 1 0 2 0 2 0 0 6 6 4 14 2 4 12 10 14 12 4 4 14 2 4 4 10 12 14 6 4 14 12 2 2 10 8 0 14 14 8 12 6 10 8 14 0 2 0 4 6 10 0 8 14 2 2 0 8 12 8 14 12 14 6 2 4 14 2 2 12 6 6 2 14 6 2 4 6 0 4 4 0 0 2 2 12 6 6 0 4 4 14 2 0 4 2 14 2 14 8 10 4 10 8 0 6 14 8 4 2 2 0 6 2 6 8 4 6 2 14 12 4 10 6 12 2 2 14 0 12 2 2 12 4 4 8 6 2 8 2 8 4 14 14 12 4 14 4 0 8 0 0 2 4 14 6 4 2 2 0 0 0 8 0 0 0 0 0 0 8 8 8 0 8 0 8 0 8 0 0 8 8 0 8 8 8 8 0 8 8 0 8 8 0 8 8 0 0 8 8 8 8 0 8 0 0 8 0 8 8 8 0 0 8 0 0 0 8 8 0 8 0 8 8 0 8 8 0 0 8 8 8 0 0 8 8 0 0 0 0 0 8 0 0 0 8 0 0 0 8 0 8 8 0 8 8 0 8 8 8 0 8 8 0 8 0 8 0 8 8 0 8 8 0 0 0 0 8 8 0 0 0 8 8 0 8 8 0 8 0 0 0 8 8 0 0 8 8 8 8 0 8 0 0 8 8 8 8 8 8 8 8 0 8 0 0 0 0 0 0 8 0 0 0 8 8 8 0 8 8 0 0 8 0 8 8 8 8 8 0 8 8 8 0 8 0 8 8 8 0 0 0 8 0 8 8 8 0 8 0 8 8 8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 0 8 0 8 8 8 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 0 0 0 8 0 8 8 0 8 8 0 0 0 8 8 0 8 8 8 8 0 0 8 8 0 8 0 0 8 0 8 0 8 0 0 8 8 8 8 8 8 0 0 8 8 0 0 0 0 8 8 8 0 0 0 0 8 8 0 0 0 0 8 0 8 0 0 0 0 0 0 0 8 8 0 8 8 0 8 0 0 8 0 0 8 0 8 8 0 8 8 0 0 8 0 8 0 0 8 0 8 0 8 0 0 0 8 0 8 8 0 8 8 0 8 0 0 0 8 8 8 8 8 8 0 8 8 8 8 0 8 8 8 8 0 8 8 0 8 0 8 0 0 generates a code of length 78 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+65x^68+144x^69+404x^70+474x^71+966x^72+1006x^73+1966x^74+2374x^75+3247x^76+3670x^77+4076x^78+3790x^79+3442x^80+2430x^81+1906x^82+872x^83+858x^84+356x^85+296x^86+146x^87+100x^88+66x^89+48x^90+18x^91+21x^92+6x^93+7x^94+6x^95+3x^96+2x^97+1x^100+1x^110 The gray image is a code over GF(2) with n=624, k=15 and d=272. This code was found by Heurico 1.16 in 25.3 seconds.