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 2 2 1 1 1 2 1 4 1 1 1 8 4 2 2 0 1 1 1 1 1 4 1 2 1 4 1 4 1 4 1 2 1 0 12 0 0 0 0 0 0 0 4 12 12 8 12 0 12 12 12 4 8 8 4 4 12 0 4 12 8 4 12 0 8 4 8 12 0 12 4 4 0 4 8 12 12 4 4 0 0 4 8 8 0 12 4 12 12 12 8 0 4 8 8 0 4 12 0 0 0 12 0 0 0 4 12 12 4 4 0 0 8 8 0 8 12 4 8 4 12 0 4 8 4 8 12 8 4 4 12 12 4 12 0 0 8 0 4 12 8 12 4 4 0 0 8 0 12 4 0 8 12 0 12 12 8 0 8 0 4 0 8 8 0 0 0 0 12 0 4 4 4 0 8 0 8 0 12 8 4 8 12 12 12 0 0 12 8 12 4 0 12 4 12 8 4 0 8 4 8 8 4 0 8 0 0 4 8 0 4 4 8 8 8 12 4 12 4 12 12 0 12 12 0 0 0 0 12 4 0 0 0 0 0 12 4 8 4 4 0 4 4 8 4 12 8 8 8 4 4 0 12 0 0 8 12 12 4 12 8 4 0 8 0 0 4 12 8 12 0 8 8 8 4 0 8 12 12 8 8 8 4 12 0 12 4 12 12 0 8 4 0 12 8 4 0 0 0 0 0 0 8 8 0 8 8 8 0 8 0 8 0 8 0 0 0 8 0 8 0 8 8 8 8 8 8 0 0 8 8 8 8 8 8 8 0 0 0 0 8 8 8 8 0 8 8 8 0 0 8 8 0 0 8 8 8 8 0 8 0 8 0 generates a code of length 66 over Z16 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+44x^57+93x^58+122x^59+177x^60+186x^61+509x^62+436x^63+1066x^64+812x^65+1511x^66+760x^67+1046x^68+392x^69+427x^70+134x^71+155x^72+76x^73+64x^74+60x^75+44x^76+22x^77+20x^78+22x^79+6x^80+4x^81+2x^83+1x^100 The gray image is a code over GF(2) with n=528, k=13 and d=228. This code was found by Heurico 1.16 in 2 seconds.