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 2 0 2 8 2 8 1 8 2 1 1 12 1 8 1 2 1 0 2 4 1 8 1 1 1 2 1 1 1 1 1 1 1 2 2 1 1 1 1 2 1 2 1 4 2 0 2 0 6 0 6 8 10 8 6 8 2 0 14 2 0 8 6 0 10 4 4 6 12 2 6 12 6 2 14 2 14 2 8 2 6 2 0 2 10 2 0 10 10 2 10 2 2 2 6 8 6 10 8 4 2 4 2 14 2 10 14 12 2 2 6 0 12 8 14 0 14 0 0 12 0 0 0 12 0 0 0 8 0 12 0 0 12 0 4 8 12 12 4 12 4 4 4 8 0 8 12 0 8 4 4 12 12 12 8 8 0 4 8 0 8 8 0 8 8 12 12 0 8 12 8 12 8 12 0 12 4 4 8 0 12 12 0 12 4 4 4 8 4 0 0 0 12 0 0 0 4 0 0 0 8 0 4 4 8 12 8 12 12 4 4 8 12 0 4 12 4 8 12 12 0 8 4 4 12 4 12 0 12 0 4 8 12 4 12 8 4 4 0 12 12 12 8 12 0 8 8 8 12 8 4 8 0 0 0 8 12 12 8 8 4 0 0 0 0 12 0 4 0 8 4 4 4 4 12 12 0 8 8 12 12 8 4 12 4 0 0 0 8 4 8 0 0 12 8 12 0 4 8 8 4 8 12 4 8 12 0 12 4 12 4 12 8 4 0 8 12 4 8 4 0 8 8 8 0 8 0 0 12 8 12 4 4 0 0 0 0 0 12 0 12 12 4 4 0 4 0 4 12 8 4 0 4 4 4 8 0 8 0 4 4 4 12 8 12 12 8 0 8 8 4 0 8 8 4 4 0 12 4 8 12 4 0 0 12 12 0 4 4 8 12 12 0 12 8 8 8 8 0 8 12 8 0 12 8 generates a code of length 72 over Z16 who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+156x^62+60x^63+513x^64+212x^65+862x^66+868x^67+1994x^68+2276x^69+3402x^70+3756x^71+4724x^72+3788x^73+3496x^74+2196x^75+1815x^76+908x^77+746x^78+216x^79+370x^80+48x^81+192x^82+8x^83+109x^84+40x^86+8x^88+2x^90+1x^92+1x^100 The gray image is a code over GF(2) with n=576, k=15 and d=248. This code was found by Heurico 1.16 in 25.9 seconds.