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 2 1 1 2 1 1 2 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 2 2 2 0 12 0 4 0 0 4 12 0 0 4 12 0 0 4 12 0 4 0 12 0 4 0 12 8 8 0 4 8 0 12 8 0 4 0 12 8 12 8 4 8 12 8 4 8 12 8 4 8 12 8 4 8 12 8 4 8 12 8 4 8 12 8 4 8 8 12 4 4 12 4 12 0 0 12 4 0 12 4 0 0 12 4 0 0 12 4 0 8 12 4 8 8 12 4 8 4 4 8 12 4 4 8 12 8 12 4 8 8 12 4 8 8 4 4 0 8 12 4 8 8 4 4 0 0 12 12 8 0 4 12 0 0 12 12 8 0 12 4 0 4 0 12 0 0 0 0 8 0 0 8 0 8 8 0 8 8 8 0 8 8 8 8 8 8 8 8 8 0 0 0 0 8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 0 8 8 8 0 8 8 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 0 8 0 0 8 0 0 0 0 0 8 8 8 8 0 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 0 0 0 0 0 8 0 0 8 0 8 8 8 0 8 8 0 0 8 0 0 0 0 0 generates a code of length 72 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+56x^68+64x^70+780x^72+64x^74+56x^76+2x^80+1x^128 The gray image is a code over GF(2) with n=576, k=10 and d=272. This code was found by Heurico 1.16 in 0.322 seconds.