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 2 2 2 1 2 2 4 2 2 1 1 4 2 0 2 4 1 1 2 1 1 1 8 1 1 4 1 1 2 1 2 4 2 1 4 1 2 1 0 12 0 4 0 0 4 12 0 0 12 12 0 8 12 8 12 0 4 12 12 12 4 0 8 0 12 8 4 4 12 4 12 8 8 12 4 4 0 4 12 8 8 8 0 12 8 8 12 4 12 0 4 4 8 4 12 4 0 4 0 12 8 0 0 12 12 4 0 0 0 12 4 0 12 4 0 0 12 12 8 8 12 4 4 0 8 4 4 0 0 12 8 4 0 8 4 0 0 4 4 8 4 0 0 12 4 12 12 8 8 4 4 4 0 4 8 8 12 4 4 8 4 12 8 0 0 12 4 12 8 4 12 8 0 8 4 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 0 8 0 0 8 0 8 8 8 8 8 0 8 8 8 8 8 0 0 8 0 0 0 0 8 8 0 8 0 8 0 0 8 0 8 8 8 8 8 8 8 8 8 0 8 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 0 8 8 0 0 0 0 0 0 8 0 8 0 8 8 8 0 0 8 0 0 8 8 8 8 0 0 8 8 0 8 8 0 8 8 8 0 0 8 8 8 0 8 0 8 8 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 0 0 8 8 0 8 0 8 0 8 0 8 8 8 0 8 8 8 0 8 0 0 0 0 0 8 8 0 8 8 0 8 0 0 0 0 0 8 8 8 8 0 0 8 8 0 8 8 0 8 8 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 0 8 0 8 0 0 8 0 0 8 8 8 8 0 8 8 0 0 0 8 8 0 0 8 0 8 0 0 0 0 8 8 8 8 0 8 0 8 0 0 0 8 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 8 0 8 8 0 0 0 8 8 0 8 0 8 0 0 0 8 0 0 8 8 0 8 8 8 0 0 8 0 0 8 0 8 0 8 8 8 0 8 8 8 0 0 8 0 8 8 8 8 8 8 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 0 8 8 8 0 0 8 0 0 8 8 8 0 8 8 8 8 8 0 8 8 8 0 0 8 0 0 0 8 8 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 8 0 0 8 8 0 8 8 8 0 8 0 0 8 8 8 0 8 0 8 8 8 0 8 8 8 8 8 8 0 8 0 0 0 0 8 0 0 8 0 0 8 8 8 8 0 0 8 8 8 generates a code of length 69 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+54x^56+44x^57+133x^58+154x^59+235x^60+414x^61+344x^62+790x^63+411x^64+2252x^65+437x^66+6178x^67+422x^68+8832x^69+501x^70+6308x^71+483x^72+2444x^73+378x^74+774x^75+279x^76+294x^77+164x^78+118x^79+130x^80+44x^81+69x^82+14x^83+24x^84+12x^85+13x^86+9x^88+7x^90+2x^94 The gray image is a code over GF(2) with n=552, k=15 and d=224. This code was found by Heurico 1.16 in 30.7 seconds.