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 2 2 2 2 2 1 4 2 2 0 1 4 1 8 1 2 4 1 2 1 1 2 1 8 1 1 2 0 12 0 0 0 0 0 0 0 12 4 12 12 4 8 8 8 12 4 0 8 12 0 4 4 12 0 4 8 8 12 12 4 12 8 12 12 8 0 4 0 0 0 0 12 4 8 12 4 0 0 8 0 12 4 12 0 8 12 4 0 8 0 0 0 12 0 0 0 4 12 4 4 4 8 0 8 4 4 8 4 4 12 0 4 0 8 12 8 4 0 0 4 12 12 0 0 12 12 8 0 4 4 12 8 4 12 0 4 0 12 4 4 12 8 0 12 12 12 4 4 12 8 8 0 8 0 0 0 12 0 4 4 4 8 4 0 12 4 8 12 0 8 0 0 8 12 12 4 0 12 12 4 12 0 4 0 4 8 0 8 8 0 12 12 4 0 4 4 8 8 12 0 8 8 4 12 12 8 4 0 4 0 4 12 12 4 8 12 0 0 0 0 12 4 0 4 4 8 0 8 12 4 8 0 4 8 4 4 4 12 8 4 8 4 0 0 0 12 12 12 8 4 0 12 0 12 0 4 8 12 8 8 8 0 8 12 8 0 4 8 4 4 8 0 12 4 0 8 8 0 12 0 0 0 0 0 8 0 0 8 0 8 8 8 0 8 8 8 0 0 8 8 0 8 8 8 8 8 0 8 0 8 8 0 8 8 8 8 0 8 8 8 0 0 0 0 8 8 0 8 8 8 8 0 8 8 0 0 0 0 8 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 8 8 8 8 8 8 0 8 0 8 8 8 8 8 8 8 8 8 8 0 0 8 0 8 0 8 8 8 8 0 0 0 0 8 0 8 8 8 0 0 8 8 0 0 0 8 0 8 generates a code of length 63 over Z16 who´s minimum homogenous weight is 53. Homogenous weight enumerator: w(x)=1x^0+56x^53+106x^54+166x^55+238x^56+266x^57+468x^58+644x^59+1037x^60+1654x^61+2249x^62+2710x^63+2327x^64+1650x^65+1045x^66+566x^67+367x^68+234x^69+177x^70+104x^71+101x^72+92x^73+43x^74+30x^75+23x^76+16x^77+8x^78+4x^79+1x^80+1x^92 The gray image is a code over GF(2) with n=504, k=14 and d=212. This code was found by Heurico 1.16 in 7.28 seconds.