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 2 1 2 1 1 1 1 2 1 1 1 2 1 1 1 1 1 2 1 1 2 1 1 1 1 4 1 2 2 4 2 0 12 0 4 0 0 4 12 8 12 0 12 0 12 8 12 8 8 4 4 12 12 0 0 12 4 0 8 8 4 0 12 12 4 8 12 12 8 0 4 0 4 0 8 4 8 4 8 12 0 8 12 12 8 0 8 0 0 4 12 0 8 8 0 4 0 0 12 4 0 12 4 8 4 4 0 0 0 4 4 8 4 8 12 8 12 8 8 4 8 8 0 0 4 12 4 12 0 0 4 0 0 8 0 4 8 12 12 12 4 0 8 12 8 4 12 0 12 8 12 4 8 12 8 8 12 4 12 12 4 0 0 0 8 0 0 0 0 0 8 8 0 8 0 8 8 8 0 0 0 8 8 8 8 8 8 0 8 8 8 0 0 0 8 0 0 8 8 0 0 8 0 0 0 0 8 8 8 0 8 8 8 8 8 8 8 8 8 8 0 8 8 0 8 8 0 0 0 0 8 0 0 8 8 8 8 0 0 8 8 8 0 0 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 8 8 0 8 8 8 8 8 8 0 0 8 0 8 8 8 8 8 0 0 8 0 8 8 8 8 8 8 0 0 0 0 0 8 0 0 8 0 8 8 0 8 0 0 8 8 8 8 8 8 8 0 8 0 0 8 0 0 8 8 0 8 0 8 0 0 0 0 0 0 0 8 0 0 0 8 0 8 8 0 0 8 8 8 8 8 8 0 0 0 0 8 8 0 0 0 0 0 0 8 0 0 0 8 0 8 8 8 8 8 0 8 0 0 8 8 8 8 8 8 0 0 8 8 0 8 0 0 8 0 0 8 0 8 0 8 8 0 0 0 0 8 0 0 8 8 8 0 0 0 8 8 8 8 0 0 0 8 generates a code of length 65 over Z16 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+134x^58+174x^60+16x^61+202x^62+256x^63+814x^64+992x^65+804x^66+256x^67+179x^68+16x^69+82x^70+84x^72+44x^74+21x^76+12x^78+5x^80+2x^82+1x^84+1x^108 The gray image is a code over GF(2) with n=520, k=12 and d=232. This code was found by Heurico 1.16 in 1.01 seconds.