The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 1 1 2 12 1 1 2 0 2 1 12 1 1 0 2 1 1 12 2 1 2 0 12 1 1 1 2 1 1 1 2 1 1 1 1 1 2 4 1 1 2 4 1 1 0 2 12 6 0 6 12 10 0 6 12 10 0 6 12 10 10 0 6 2 6 12 0 10 2 6 0 6 2 10 6 2 10 6 2 6 10 12 2 10 10 10 2 2 10 0 12 6 12 0 12 6 10 8 4 12 10 4 12 6 0 6 12 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 0 0 0 0 8 8 8 8 8 8 8 8 0 8 0 8 0 8 0 8 8 8 0 8 8 8 0 8 8 8 8 8 8 0 8 8 0 0 8 8 8 8 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 8 0 0 0 8 8 8 0 0 8 0 8 8 8 0 0 0 8 8 8 0 0 8 8 0 8 8 8 0 0 8 8 8 8 0 0 0 8 8 8 0 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 0 0 8 0 0 8 8 8 8 0 8 0 8 0 8 0 0 8 0 8 8 0 8 8 8 8 0 0 8 8 8 8 0 8 8 0 8 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 8 0 8 8 8 0 0 0 0 0 0 8 8 0 0 8 8 8 8 0 0 8 0 8 0 8 0 0 8 8 0 0 8 0 8 8 0 8 8 8 0 8 8 8 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 0 8 8 0 8 8 8 8 0 8 8 0 0 0 0 8 0 0 0 8 8 8 0 8 8 0 8 8 8 0 0 8 0 8 0 8 0 8 0 0 8 8 8 0 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 8 8 0 8 0 0 0 0 8 8 8 8 8 0 8 0 0 0 8 8 8 8 0 0 0 0 8 0 8 8 8 0 0 8 0 8 0 8 0 8 0 0 8 0 8 8 8 8 0 8 0 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 8 8 8 8 0 8 0 8 0 0 8 8 0 0 0 8 8 8 8 0 0 8 0 8 0 0 8 8 0 8 8 8 8 8 0 0 8 8 8 8 0 8 0 0 0 8 8 8 0 0 0 0 0 0 0 0 0 0 0 8 0 8 0 0 8 0 8 8 8 8 8 8 0 0 8 0 0 0 0 0 8 0 8 8 8 0 8 8 0 0 8 8 8 0 8 0 0 8 8 8 8 0 0 0 0 0 0 0 0 8 8 0 8 8 0 generates a code of length 65 over Z16 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+40x^52+127x^54+12x^55+212x^56+116x^57+468x^58+648x^59+746x^60+2288x^61+1111x^62+5448x^63+1394x^64+7480x^65+1436x^66+5568x^67+1123x^68+2288x^69+717x^70+588x^71+452x^72+116x^73+174x^74+24x^75+96x^76+45x^78+19x^80+16x^82+11x^84+2x^88+2x^90 The gray image is a code over GF(2) with n=520, k=15 and d=208. This code was found by Heurico 1.16 in 22 seconds.