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 2 0 2 1 8 2 8 1 2 1 1 4 1 2 4 1 1 1 12 1 1 12 1 2 1 2 1 1 1 0 2 2 8 1 2 1 1 2 2 4 8 1 1 2 0 2 0 6 4 6 12 2 8 6 12 14 0 2 4 10 0 10 12 2 4 2 8 14 14 2 6 0 2 6 2 2 10 12 6 2 0 14 2 14 4 2 2 0 8 2 10 10 10 6 8 0 14 2 0 10 4 6 2 14 2 14 8 8 8 4 4 8 0 0 12 0 4 0 0 0 8 4 4 4 4 4 0 12 0 8 12 8 4 12 8 4 8 8 8 12 4 4 0 8 4 12 0 4 12 12 8 4 0 4 12 4 0 8 0 8 4 4 4 0 4 8 4 12 12 4 12 8 0 0 12 8 4 12 12 4 0 0 0 12 0 0 0 4 12 4 12 8 4 0 12 12 8 4 8 8 4 8 12 8 12 0 8 12 0 12 4 0 4 12 8 8 8 0 12 4 8 12 12 12 4 0 0 8 4 12 8 12 4 8 4 4 8 0 8 12 12 4 0 4 12 0 8 8 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 8 0 8 0 8 8 8 0 8 0 0 0 0 8 8 0 0 8 8 0 0 8 0 8 8 8 8 0 8 0 8 0 0 8 8 0 8 0 0 0 0 8 8 0 8 8 8 8 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 0 0 0 0 8 0 8 0 0 0 0 0 8 8 8 8 8 8 8 0 0 8 8 8 0 8 8 8 0 0 8 8 8 0 8 0 8 8 0 8 8 0 8 0 0 8 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 8 0 8 0 8 8 0 0 8 8 8 0 0 8 8 0 8 8 8 0 8 0 8 0 8 8 0 0 8 8 8 8 8 8 0 8 0 0 0 8 8 8 8 0 0 8 0 0 0 8 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 8 8 0 8 0 0 0 8 8 8 8 8 8 0 0 8 0 8 0 8 0 8 8 0 8 0 0 0 0 0 8 0 8 0 0 0 8 8 8 8 0 0 0 0 0 8 8 8 0 8 8 generates a code of length 68 over Z16 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+157x^58+68x^59+475x^60+368x^61+776x^62+1284x^63+1255x^64+3288x^65+2213x^66+5120x^67+2609x^68+5480x^69+2181x^70+3120x^71+1380x^72+1320x^73+638x^74+380x^75+324x^76+40x^77+145x^78+12x^79+82x^80+31x^82+15x^84+1x^86+2x^88+1x^90+1x^92+1x^94 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 24.2 seconds.