The generator matrix 1 0 1 1 1 6 1 1 12 1 1 10 0 1 1 6 1 1 1 12 1 1 10 1 12 1 1 6 1 10 1 0 1 1 1 1 1 0 6 1 1 10 1 1 1 1 6 1 1 1 10 1 1 1 12 6 10 1 1 1 1 12 1 1 1 0 2 0 0 1 3 6 5 1 12 7 1 10 9 1 1 0 5 1 6 3 12 1 15 9 1 10 1 3 0 1 6 1 5 1 10 9 15 12 6 1 1 0 3 1 5 9 15 3 1 10 12 0 1 3 6 10 1 1 1 5 12 9 3 1 6 9 0 1 6 1 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 8 8 8 0 8 8 0 8 8 0 0 8 8 8 8 0 0 8 8 8 0 0 8 8 0 0 8 0 0 8 0 0 8 0 8 0 8 0 8 8 8 8 8 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 8 0 8 8 8 8 0 8 0 8 8 0 0 8 0 8 8 8 0 0 8 8 0 8 8 8 0 0 0 8 8 8 8 0 8 0 0 8 8 8 0 8 8 8 8 8 0 0 0 0 8 8 0 0 0 0 0 8 0 0 0 0 0 0 8 8 0 8 8 8 0 0 0 8 8 0 0 0 0 8 8 8 8 8 0 8 0 0 8 8 8 0 0 8 8 8 8 8 0 0 8 8 8 0 0 8 0 0 0 8 8 8 0 8 0 8 8 0 0 0 8 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 0 8 0 8 0 0 0 8 8 8 0 8 8 0 0 0 8 8 0 8 0 8 0 0 8 0 0 0 8 8 8 0 8 0 0 8 8 8 8 0 8 0 0 8 0 8 8 0 8 8 8 8 0 0 0 0 0 0 8 0 0 8 8 0 0 8 8 0 0 8 8 8 0 8 8 0 8 0 0 8 0 8 8 8 8 8 8 8 0 0 8 0 0 8 8 8 8 8 8 8 8 8 8 0 8 0 0 8 0 0 0 0 0 8 0 8 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 0 0 0 0 0 8 8 0 0 0 8 8 8 0 8 0 8 0 8 0 0 8 8 0 8 8 8 8 8 0 0 8 8 0 8 0 8 8 0 0 8 0 8 0 8 0 0 8 0 0 8 8 0 8 0 8 8 0 0 0 0 0 0 0 0 8 0 8 8 0 0 8 8 8 0 0 8 8 0 8 0 0 8 8 0 0 8 8 8 0 0 8 0 0 0 8 8 0 0 0 8 0 0 0 0 0 8 8 0 8 0 8 0 8 8 8 0 0 8 8 8 0 8 0 0 generates a code of length 68 over Z16 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+59x^58+40x^59+155x^60+180x^61+547x^62+702x^63+1865x^64+2220x^65+4009x^66+4036x^67+5203x^68+4020x^69+4034x^70+2208x^71+1840x^72+708x^73+508x^74+180x^75+121x^76+40x^77+31x^78+2x^79+18x^80+13x^82+9x^84+12x^86+4x^88+3x^90 The gray image is a code over GF(2) with n=544, k=15 and d=232. This code was found by Heurico 1.16 in 15.1 seconds.