The generator matrix 1 0 0 0 0 0 0 1 1 1 2 1 1 1 1 1 2 1 1 2 1 2 2 2 2 2 1 1 1 0 2 2 1 0 0 1 2 2 2 1 1 2 1 1 1 2 2 1 1 0 2 0 1 1 1 0 0 2 1 0 1 1 2 1 1 2 1 1 2 0 2 0 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 1 3 1 1 3 1 1 1 3 1 1 3 3 3 1 1 2 2 2 1 0 0 1 2 1 0 1 3 0 2 0 1 3 2 1 0 2 1 1 2 1 1 2 3 1 1 1 3 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 3 1 1 2 1 2 0 0 1 1 1 1 1 1 1 1 0 2 2 1 2 2 3 0 1 0 0 1 1 0 1 2 2 1 1 2 0 2 3 0 2 2 3 0 1 3 1 2 1 2 1 3 0 2 2 1 1 3 1 0 1 0 3 3 0 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 1 1 3 3 1 1 1 0 1 2 3 2 3 0 1 1 0 1 1 2 3 0 3 1 1 2 2 1 0 0 3 2 3 1 0 1 3 0 3 3 1 1 3 2 1 2 2 2 0 1 1 3 1 1 3 2 1 3 1 2 3 0 3 1 0 0 0 0 1 0 0 0 1 1 1 2 2 0 1 1 1 3 2 0 3 1 0 2 3 3 0 1 2 1 2 3 0 1 2 2 2 3 0 1 2 3 3 1 1 0 2 3 2 3 1 3 3 2 0 3 0 2 0 3 0 3 1 1 2 1 1 0 2 1 2 2 2 0 0 3 1 0 3 3 0 0 0 0 0 1 0 1 0 1 3 2 2 1 3 2 2 3 1 3 2 0 1 3 3 1 1 2 2 2 2 1 2 3 2 3 2 3 1 3 1 0 2 0 1 1 1 1 0 1 3 0 2 2 1 3 1 3 1 0 3 3 2 0 2 3 2 1 0 0 2 0 3 1 1 2 3 0 3 2 0 0 0 0 0 0 1 1 3 2 1 1 3 0 1 3 0 0 0 0 2 3 1 1 3 2 3 0 2 1 3 0 3 1 0 0 3 3 2 3 3 3 3 1 0 3 3 3 3 0 1 0 1 1 1 0 2 0 0 2 2 2 2 0 1 2 1 2 2 1 1 2 3 0 3 1 2 3 0 1 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 0 0 0 0 2 2 2 2 0 2 0 0 2 2 0 2 2 0 0 2 2 0 2 2 2 2 0 2 0 0 0 0 2 0 2 0 0 0 2 2 2 2 2 2 2 2 2 0 2 0 2 0 0 0 2 2 2 0 2 2 2 2 2 generates a code of length 80 over Z4 who´s minimum homogenous weight is 65. Homogenous weight enumerator: w(x)=1x^0+70x^65+198x^66+304x^67+429x^68+598x^69+717x^70+874x^71+1038x^72+1274x^73+1396x^74+1436x^75+1569x^76+1684x^77+1862x^78+1980x^79+1856x^80+1850x^81+1914x^82+1712x^83+1729x^84+1624x^85+1430x^86+1234x^87+1007x^88+806x^89+612x^90+524x^91+351x^92+252x^93+182x^94+120x^95+73x^96+32x^97+8x^98+8x^99+10x^100+2x^101+1x^104+1x^134 The gray image is a code over GF(2) with n=160, k=15 and d=65. This code was found by Heurico 1.10 in 144 seconds.