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 2 1 4 2 2 2 2 1 2 1 2 1 4 2 1 4 2 2 2 4 4 4 2 1 1 1 4 2 1 4 0 1 1 4 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 8 4 12 0 12 0 8 0 8 8 4 8 0 4 8 8 12 4 4 0 4 4 12 8 0 12 8 8 0 0 8 12 0 12 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 4 0 12 12 0 8 4 4 12 8 12 0 4 8 4 4 0 0 12 0 12 4 4 8 8 12 0 12 0 12 4 8 12 8 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 12 0 8 4 0 4 12 12 0 0 12 8 0 0 4 12 8 12 0 8 12 8 4 4 4 4 12 0 0 0 8 8 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 0 8 0 0 0 8 8 0 0 8 8 8 0 8 8 0 0 0 8 0 8 0 8 0 0 8 8 0 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 8 0 8 8 0 0 8 8 0 0 0 0 0 8 0 0 0 8 8 8 8 0 0 0 8 8 0 8 0 8 8 8 0 8 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 0 8 0 0 0 0 8 8 8 0 8 0 8 0 8 8 8 8 0 0 8 8 0 0 8 8 8 0 8 0 8 0 8 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 0 8 0 8 0 8 0 0 8 0 8 0 8 8 0 8 8 0 0 8 8 0 0 8 8 8 0 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 0 0 0 0 8 0 0 8 0 0 8 0 8 8 0 8 8 0 8 0 8 8 0 0 8 0 8 8 8 8 generates a code of length 69 over Z16 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+40x^57+143x^58+210x^59+265x^60+344x^61+422x^62+654x^63+1037x^64+1648x^65+2174x^66+3242x^67+4154x^68+4166x^69+4237x^70+3210x^71+2162x^72+1620x^73+972x^74+698x^75+411x^76+288x^77+188x^78+150x^79+134x^80+84x^81+46x^82+26x^83+24x^84+2x^85+9x^86+2x^87+2x^88+1x^90+2x^92 The gray image is a code over GF(2) with n=552, k=15 and d=228. This code was found by Heurico 1.16 in 100 seconds.