The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 1 2 8 1 2 1 4 1 1 12 2 1 1 0 1 1 1 1 8 1 2 1 2 1 2 1 4 2 0 1 4 4 1 1 4 4 1 2 1 2 1 1 0 2 0 6 4 14 12 2 0 6 14 12 2 8 10 4 8 0 6 6 6 2 12 2 14 2 4 10 6 2 12 8 2 2 10 4 2 2 12 14 8 2 12 6 8 10 8 14 2 0 0 2 12 2 2 8 14 2 2 6 6 4 6 0 14 0 0 12 0 4 4 0 4 0 0 4 8 4 4 8 12 4 0 0 12 0 8 8 12 4 12 12 0 0 4 12 4 0 4 8 4 0 12 0 4 12 4 4 8 12 8 0 4 12 12 12 8 0 12 12 12 12 12 12 4 8 0 0 8 4 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 0 8 8 0 0 0 0 0 8 8 8 8 0 8 0 8 8 0 0 8 8 0 8 8 0 0 0 8 8 8 0 8 8 8 8 8 0 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 0 0 8 8 8 8 0 8 8 8 8 0 8 0 8 0 0 8 0 8 8 8 0 8 8 0 0 0 0 0 8 0 0 0 8 8 0 8 8 0 0 0 0 0 8 0 0 8 8 0 8 0 0 0 0 0 0 8 0 0 0 0 8 0 0 0 0 8 0 8 8 8 0 8 8 8 8 0 8 0 0 0 0 0 0 8 8 8 8 0 0 8 8 8 0 0 0 8 0 0 8 0 0 0 0 0 8 8 8 8 0 8 0 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 8 8 0 0 8 0 8 0 0 0 0 8 8 8 8 8 8 8 0 8 8 0 0 8 0 0 8 8 8 0 0 0 8 0 8 8 0 0 0 8 0 8 8 0 8 8 8 8 0 8 8 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 0 8 8 0 0 8 8 0 0 8 8 0 0 8 0 0 8 8 0 8 0 0 8 8 0 8 8 8 8 8 8 8 0 0 8 8 0 0 0 0 8 8 0 8 8 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 8 8 0 0 0 0 8 0 8 0 0 8 0 8 0 8 8 0 8 8 0 0 0 8 8 0 8 0 0 8 8 0 8 8 8 8 0 0 8 0 0 0 8 8 8 8 0 0 0 generates a code of length 65 over Z16 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+46x^54+58x^55+134x^56+288x^57+358x^58+760x^59+839x^60+1734x^61+2106x^62+4354x^63+3747x^64+4116x^65+3701x^66+4228x^67+2089x^68+1824x^69+796x^70+754x^71+283x^72+204x^73+120x^74+84x^75+49x^76+26x^77+34x^78+2x^79+18x^80+5x^82+7x^84+2x^86+1x^88 The gray image is a code over GF(2) with n=520, k=15 and d=216. This code was found by Heurico 1.16 in 22.5 seconds.