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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 0 1 1 1 1 2 1 0 2 12 6 0 6 12 10 0 10 12 6 0 6 12 10 8 10 4 14 0 10 8 2 12 6 12 6 4 14 0 10 8 10 6 14 8 12 4 8 2 10 0 0 6 6 12 12 2 10 2 10 12 10 0 8 0 2 0 8 4 8 10 10 2 6 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 8 0 8 8 8 8 0 8 8 8 0 8 8 0 0 8 0 8 8 8 0 0 8 8 8 8 0 8 0 8 0 0 8 8 0 8 8 0 0 0 8 8 8 0 8 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 8 8 8 8 8 8 0 8 8 8 0 8 0 8 8 0 8 0 0 8 8 0 8 8 0 8 8 8 0 0 8 0 8 8 8 8 8 0 8 8 0 8 8 8 0 0 0 0 8 0 0 0 8 0 0 0 0 8 0 8 8 8 0 8 0 8 8 0 0 0 0 8 0 8 0 8 0 0 8 8 8 8 8 8 0 8 8 8 0 8 8 8 0 0 8 0 0 8 8 0 8 0 8 0 0 0 0 8 0 8 8 0 0 0 0 0 8 0 0 0 8 0 0 8 8 8 8 8 0 8 0 8 0 8 8 0 8 8 8 0 0 8 8 8 0 0 0 0 0 8 8 8 8 8 0 8 0 0 8 8 0 8 0 0 8 0 0 8 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 8 8 8 8 0 0 8 8 0 8 8 0 0 8 0 8 0 8 8 0 8 0 0 8 0 8 8 0 8 0 8 0 8 8 8 8 0 0 0 8 8 0 8 0 8 0 0 0 8 0 0 0 8 0 0 8 0 8 generates a code of length 67 over Z16 who´s minimum homogenous weight is 61. Homogenous weight enumerator: w(x)=1x^0+208x^61+24x^62+128x^63+110x^64+480x^65+736x^66+608x^67+1168x^68+256x^69+8x^70+128x^71+160x^73+32x^75+48x^77+1x^128 The gray image is a code over GF(2) with n=536, k=12 and d=244. This code was found by Heurico 1.16 in 18.4 seconds.