The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 1 0 1 0 1 2 1 2 1 1 1 0 2 1 0 2 1 1 1 2 1 1 1 0 0 1 2 1 0 1 1 0 0 1 1 1 1 1 2 0 2 1 1 2 1 1 1 0 1 1 0 0 0 0 1 2 0 1 1 1 2 1 1 1 1 0 1 0 1 0 1 0 1 1 0 0 1 3 1 1 2 0 2 0 3 1 3 1 3 1 3 1 1 2 0 0 2 0 1 1 2 3 0 1 1 2 1 3 1 1 1 1 2 3 2 3 0 0 0 1 1 3 0 1 0 1 2 1 3 0 1 1 2 0 2 1 1 1 0 0 1 1 3 3 0 0 0 0 0 1 1 1 0 1 0 1 3 2 2 1 0 1 1 1 3 2 2 3 0 2 3 2 1 3 1 1 1 3 1 0 0 3 0 2 3 2 0 0 3 1 1 1 1 0 1 1 0 2 1 0 3 1 0 0 3 3 1 3 0 3 2 2 1 1 0 2 2 3 3 3 0 2 1 2 0 1 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 0 0 2 2 2 0 2 0 2 2 2 0 2 0 2 0 0 2 2 2 0 2 0 2 0 0 2 0 0 0 2 0 2 2 2 0 0 2 0 2 0 0 2 0 2 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 2 0 2 0 2 0 2 2 0 2 2 0 2 0 2 2 0 2 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 0 2 0 2 2 2 0 0 0 0 0 0 2 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 0 2 2 2 2 0 2 2 2 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 0 2 0 2 2 0 0 2 2 2 0 0 0 2 2 0 2 0 2 2 2 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 2 2 0 0 0 0 2 0 0 0 2 0 2 2 2 2 0 2 2 0 2 2 2 0 0 2 0 0 2 0 2 2 2 2 2 2 0 0 2 2 0 2 2 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 2 0 2 0 2 2 2 0 2 0 2 0 0 0 0 0 2 2 2 2 0 0 2 0 2 0 0 2 2 2 0 2 2 2 0 0 0 0 2 2 2 0 0 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 0 0 0 2 0 0 2 0 2 0 0 2 0 2 2 0 2 0 2 2 2 2 2 0 0 2 2 0 0 2 2 0 2 2 0 2 0 0 0 2 0 0 2 2 2 2 2 0 2 2 2 2 2 0 0 2 2 2 0 0 0 generates a code of length 80 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+48x^68+38x^69+93x^70+112x^71+194x^72+184x^73+217x^74+238x^75+205x^76+258x^77+209x^78+242x^79+215x^80+216x^81+206x^82+216x^83+174x^84+206x^85+153x^86+160x^87+129x^88+92x^89+82x^90+42x^91+41x^92+26x^93+44x^94+14x^95+12x^96+4x^97+14x^98+4x^100+4x^102+1x^104+1x^106+1x^110 The gray image is a code over GF(2) with n=160, k=12 and d=68. This code was found by Heurico 1.16 in 3.53 seconds.