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 2 1 1 1 1 2 2 2 2 1 4 4 4 0 8 4 1 2 1 1 4 1 2 1 4 1 2 1 4 1 1 1 4 4 2 1 0 12 0 0 0 4 12 4 0 8 0 12 0 0 12 12 4 0 8 8 4 4 0 4 4 8 4 8 12 8 0 12 12 0 12 4 8 12 12 8 12 12 8 4 12 12 8 8 4 4 8 12 0 12 4 0 8 12 4 0 4 0 0 0 8 4 8 8 12 12 4 4 0 0 12 0 4 4 12 0 0 0 12 8 0 12 4 0 12 8 12 12 12 4 12 12 0 0 8 4 8 0 0 12 0 12 8 0 4 4 12 0 8 12 12 12 8 8 12 4 12 12 4 0 0 12 4 4 4 4 12 12 8 12 12 12 4 8 12 0 4 8 0 4 0 0 0 12 4 0 12 4 0 4 12 12 8 8 4 8 0 4 4 0 8 4 4 0 0 8 4 8 4 12 0 8 4 4 8 8 8 4 8 12 0 12 4 0 8 0 12 8 8 12 4 0 0 8 12 0 0 0 0 12 12 4 12 8 0 12 8 0 4 8 12 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 0 0 8 8 8 8 0 0 0 0 8 8 8 8 8 8 8 0 0 0 0 8 0 8 0 8 0 8 8 0 0 8 8 0 8 8 8 0 8 0 8 0 8 0 8 8 8 8 8 0 0 8 8 8 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 8 0 0 0 0 8 8 0 0 8 0 8 8 8 0 8 8 0 8 0 8 8 0 8 0 8 0 8 8 0 8 0 0 0 0 0 0 8 0 0 8 8 0 8 8 8 8 8 8 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 0 0 0 8 8 0 0 0 0 8 8 0 8 0 0 0 8 8 8 0 0 0 8 8 0 8 0 8 8 0 8 8 8 0 8 0 8 8 8 8 8 0 8 8 8 8 8 0 8 8 8 8 8 0 8 8 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 0 8 0 8 8 0 8 8 0 0 0 8 8 8 8 0 8 8 8 8 0 0 0 8 8 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 0 0 8 8 0 8 8 8 8 8 0 0 0 8 8 8 8 8 0 0 8 0 0 8 8 0 8 8 0 0 0 0 8 0 8 8 8 0 8 8 8 8 0 0 8 0 8 0 8 8 0 8 8 generates a code of length 72 over Z16 who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+120x^60+306x^62+12x^63+815x^64+120x^65+996x^66+616x^67+1898x^68+1928x^69+3698x^70+3456x^71+4902x^72+3480x^73+3678x^74+1944x^75+1940x^76+600x^77+990x^78+116x^79+615x^80+16x^81+264x^82+162x^84+46x^86+33x^88+6x^90+8x^92+1x^96+1x^104 The gray image is a code over GF(2) with n=576, k=15 and d=240. This code was found by Heurico 1.16 in 32.5 seconds.