The generator matrix 1 0 1 1 1 6 1 1 8 1 1 14 8 1 1 1 1 6 14 1 1 1 4 1 1 1 12 1 1 0 6 1 10 1 1 1 1 4 1 1 1 1 12 1 1 1 4 14 1 1 14 2 1 1 1 1 10 1 4 8 1 1 1 1 1 4 14 1 0 1 1 1 0 1 11 6 1 1 0 11 1 6 13 1 1 8 3 10 5 1 1 12 15 14 1 5 15 6 1 0 5 1 1 8 1 9 0 2 11 1 9 7 10 5 1 13 6 13 1 1 5 4 1 1 13 6 13 12 1 6 4 1 6 12 11 8 9 12 1 8 1 8 8 0 0 0 12 0 0 0 0 0 0 0 4 8 12 4 8 12 4 4 4 12 12 4 4 4 8 8 12 12 0 12 12 12 4 8 0 8 8 8 4 4 0 0 12 4 8 8 8 4 4 4 0 12 0 12 0 12 4 4 8 12 12 4 4 8 8 12 8 12 8 4 8 0 0 0 0 12 0 0 12 8 0 0 0 0 0 4 12 8 4 12 8 0 4 12 4 8 8 4 0 12 8 8 4 0 12 8 12 12 0 8 4 0 0 12 8 4 8 0 4 4 0 0 4 12 4 12 12 4 4 12 4 4 0 8 8 0 0 4 4 0 12 12 8 8 0 0 0 0 4 0 0 12 12 8 8 12 8 4 12 12 0 0 0 12 0 12 12 12 0 4 12 0 8 12 4 0 0 8 12 8 4 4 0 8 0 4 4 4 8 8 4 12 4 0 8 12 8 8 12 8 0 0 0 12 0 12 0 4 12 12 8 8 4 4 4 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 0 8 8 0 8 8 8 0 8 0 8 0 0 0 8 8 8 8 0 8 8 0 0 0 0 0 0 0 8 8 0 8 8 8 0 0 8 0 8 8 8 8 0 8 0 0 0 0 8 8 8 0 0 0 8 8 8 8 8 8 0 8 8 0 0 8 0 8 0 8 8 8 8 0 0 8 0 8 8 0 8 8 0 0 8 8 0 8 8 0 8 0 0 0 generates a code of length 72 over Z16 who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+170x^62+72x^63+474x^64+488x^65+1215x^66+1936x^67+3579x^68+5336x^69+6655x^70+8444x^71+8678x^72+8672x^73+6922x^74+5444x^75+3177x^76+1816x^77+1240x^78+476x^79+299x^80+72x^81+191x^82+12x^83+99x^84+55x^86+10x^88+1x^92+2x^96 The gray image is a code over GF(2) with n=576, k=16 and d=248. This code was found by Heurico 1.16 in 64.4 seconds.