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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 2 4 1 2 2 2 2 8 1 4 1 2 1 1 4 8 1 1 1 4 1 1 0 12 0 0 0 0 0 0 0 0 0 12 8 8 12 4 12 4 4 12 12 4 4 0 8 8 12 12 0 0 4 8 0 4 4 12 4 12 12 8 4 4 8 8 0 4 12 0 8 8 12 12 12 12 12 4 4 8 0 8 12 4 0 8 12 4 4 12 12 0 0 0 12 0 0 0 0 0 0 0 4 0 4 12 12 12 12 8 8 4 12 0 8 4 12 4 12 4 12 4 4 12 8 0 12 8 8 8 12 4 12 0 8 4 12 0 8 12 12 0 0 8 8 12 0 8 4 12 0 4 4 0 12 4 12 0 8 8 0 0 0 0 0 12 0 0 0 4 12 12 4 12 4 4 0 12 8 12 4 8 12 8 0 4 0 8 0 12 8 12 4 4 12 12 12 0 8 4 8 12 12 12 12 8 8 4 8 12 8 8 4 4 4 4 4 0 0 0 4 4 12 4 0 4 4 4 8 0 4 0 0 0 0 0 12 0 4 4 4 0 8 8 0 4 12 4 4 8 12 0 0 8 4 12 12 4 8 0 12 12 4 12 4 4 4 4 4 8 4 0 4 0 0 4 8 4 12 8 12 0 4 0 4 12 12 4 4 4 8 12 12 0 12 0 0 4 8 0 4 12 0 0 0 0 0 12 4 8 4 4 0 0 4 12 0 8 12 4 4 0 12 12 0 0 8 12 4 8 0 4 0 8 8 4 4 4 8 4 12 0 12 8 0 4 12 8 4 4 0 12 4 4 0 12 8 8 12 0 12 12 4 4 12 0 8 4 4 0 0 12 0 0 0 0 0 0 8 8 0 8 8 8 0 8 0 8 8 0 8 8 8 8 8 0 8 0 8 8 0 0 0 8 0 0 8 0 0 8 0 0 0 0 8 8 0 0 8 0 0 8 0 0 8 8 0 8 0 8 8 0 0 8 0 0 0 8 8 0 0 0 generates a code of length 70 over Z16 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+59x^58+104x^59+175x^60+258x^61+330x^62+364x^63+497x^64+748x^65+1136x^66+2160x^67+3376x^68+4514x^69+5174x^70+4754x^71+3543x^72+2030x^73+1146x^74+708x^75+400x^76+402x^77+249x^78+188x^79+169x^80+100x^81+86x^82+36x^83+29x^84+10x^85+11x^86+6x^87+2x^88+2x^89+1x^114 The gray image is a code over GF(2) with n=560, k=15 and d=232. This code was found by Heurico 1.16 in 30.7 seconds.