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 2 0 2 0 0 2 1 1 1 1 2 1 0 2 1 1 1 1 8 1 1 1 1 4 1 2 4 1 1 4 1 4 1 12 2 1 2 1 1 1 2 1 2 0 2 0 6 0 6 8 10 8 6 8 2 0 14 2 4 12 12 14 2 12 4 6 10 12 14 2 14 2 2 6 14 0 14 10 14 8 2 14 8 6 6 2 2 12 8 12 12 2 8 2 2 6 8 2 0 8 8 2 4 0 4 2 0 6 10 10 14 0 0 12 0 0 0 12 0 0 0 8 0 12 0 0 0 8 8 4 12 8 12 12 4 4 8 8 4 12 0 12 12 12 4 4 4 12 0 4 12 8 4 8 8 4 8 8 12 8 0 12 4 12 4 0 0 8 8 4 12 8 8 12 12 4 8 4 8 0 0 0 12 0 0 0 4 0 0 0 8 0 4 4 4 4 4 12 8 12 12 4 8 4 12 8 8 4 12 0 0 4 4 12 4 12 12 0 4 8 12 4 8 4 8 0 8 0 4 0 0 0 4 8 0 12 4 8 12 8 8 4 0 4 12 8 12 0 0 0 0 12 0 4 0 8 4 4 4 4 12 12 0 4 12 4 8 0 0 12 8 4 12 8 0 12 4 8 12 8 0 12 8 12 8 12 12 8 0 4 12 4 12 0 0 4 4 0 4 4 12 8 12 12 4 12 8 0 12 12 12 4 12 0 0 0 0 0 0 0 12 0 12 12 4 4 0 4 0 4 8 0 12 0 8 4 12 12 12 12 12 8 8 4 8 12 8 0 12 8 4 8 12 4 12 12 0 8 8 8 8 12 4 0 4 8 4 4 12 4 8 4 8 0 0 8 4 12 8 4 0 0 8 generates a code of length 68 over Z16 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+81x^58+180x^59+284x^60+426x^61+682x^62+984x^63+1556x^64+2418x^65+3382x^66+4212x^67+4536x^68+4260x^69+3291x^70+2326x^71+1592x^72+1002x^73+571x^74+346x^75+236x^76+136x^77+94x^78+74x^79+50x^80+12x^81+22x^82+6x^83+2x^85+5x^86+1x^96 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 23.9 seconds.