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 2 1 1 2 2 1 2 1 1 4 1 2 4 4 4 1 2 1 2 1 1 1 1 1 2 1 2 1 8 2 0 1 4 1 2 1 2 2 1 0 12 0 0 0 4 12 4 0 8 4 12 0 8 12 0 4 4 8 4 12 12 8 8 12 12 0 12 4 8 4 12 0 8 0 12 8 0 8 8 12 8 4 0 0 12 4 8 12 8 0 0 8 8 4 12 12 12 0 8 4 4 4 4 4 8 8 8 12 12 0 0 0 12 0 4 4 12 0 0 0 4 8 4 4 0 8 4 4 12 8 12 0 8 8 4 0 12 0 12 8 4 12 4 4 12 4 12 4 0 8 4 12 4 12 12 12 0 12 4 12 8 8 4 0 8 8 12 12 8 4 12 12 8 12 12 12 12 8 12 12 0 0 0 0 12 4 0 12 4 0 4 12 8 12 0 4 8 8 8 4 0 4 4 12 4 4 4 12 8 0 8 8 0 12 8 8 12 12 0 4 0 0 4 8 8 0 12 4 4 4 12 4 12 0 8 4 4 4 12 12 4 8 8 0 12 0 12 0 4 12 4 0 0 0 0 0 8 0 0 0 8 0 8 8 0 0 0 0 8 8 8 0 8 8 0 0 0 8 0 8 0 8 0 8 8 0 8 0 8 0 8 8 0 8 8 0 8 0 0 8 8 0 0 8 8 8 8 0 0 0 0 8 8 8 8 8 0 0 8 8 8 8 0 0 0 0 0 0 8 0 0 8 8 8 0 8 0 8 8 0 8 8 0 8 8 0 8 0 0 0 0 8 0 0 0 0 8 8 8 8 0 8 8 0 0 0 0 8 8 8 0 0 0 8 0 8 8 0 0 8 8 0 0 8 8 0 8 0 0 0 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 0 8 8 8 8 0 0 0 0 8 8 8 8 0 8 8 8 0 0 8 0 0 8 8 8 8 8 8 8 8 0 0 0 8 8 0 8 8 8 0 0 8 8 8 0 0 8 0 0 0 8 8 8 0 0 0 0 0 0 0 0 8 8 8 0 8 0 0 0 0 0 8 0 8 8 0 8 0 8 8 0 0 0 8 8 0 0 0 8 8 0 8 8 8 8 8 8 8 0 0 0 8 8 8 8 8 0 0 8 0 8 0 8 0 8 8 8 0 0 0 8 0 0 0 8 generates a code of length 71 over Z16 who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+31x^60+58x^61+134x^62+218x^63+226x^64+348x^65+447x^66+626x^67+1112x^68+1634x^69+2200x^70+2486x^71+2116x^72+1652x^73+1193x^74+588x^75+359x^76+310x^77+168x^78+126x^79+83x^80+76x^81+61x^82+50x^83+34x^84+14x^85+17x^86+2x^87+6x^88+4x^89+3x^90+1x^102 The gray image is a code over GF(2) with n=568, k=14 and d=240. This code was found by Heurico 1.16 in 8.64 seconds.