The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 0 1 1 0 1 1 1 0 0 1 1 1 1 2 1 0 2 1 1 2 1 1 1 1 0 1 1 0 1 0 1 2 1 1 1 1 1 0 0 0 1 1 1 2 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 2 2 2 1 1 1 1 0 1 1 0 1 1 0 1 1 0 3 1 2 3 1 0 1 3 2 1 3 1 0 1 1 0 3 0 1 1 0 1 1 3 0 1 3 1 2 1 1 0 3 1 0 1 1 1 2 3 1 0 3 1 1 1 2 1 1 1 0 3 3 0 2 0 1 2 1 3 2 0 3 3 2 1 2 1 3 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 0 2 0 0 2 0 2 2 2 0 2 0 2 0 2 0 2 2 0 2 2 2 0 2 0 2 2 0 0 0 0 0 2 2 2 0 0 2 0 2 0 0 0 2 2 2 2 0 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 0 2 2 0 2 2 0 2 0 2 0 0 2 0 2 0 2 0 2 2 0 0 2 2 2 0 0 2 0 0 0 2 2 2 0 0 0 2 2 0 0 2 0 0 2 0 2 2 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 0 2 2 2 2 2 2 0 2 0 2 0 0 2 2 0 0 2 2 0 0 2 0 0 2 0 2 0 0 2 0 0 2 0 2 2 0 0 2 2 2 2 0 2 0 2 0 0 0 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 2 0 0 2 2 2 0 2 0 0 2 2 2 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 0 2 2 2 2 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 0 2 2 2 2 0 0 2 0 2 2 0 0 2 0 0 2 2 2 2 0 2 2 2 2 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 2 2 0 0 2 0 2 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 0 2 0 2 2 0 0 2 0 0 2 2 2 0 0 0 2 2 0 0 0 2 2 2 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 2 2 2 0 2 2 2 2 0 0 0 0 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 2 0 2 2 2 0 0 2 0 2 0 0 2 2 0 0 0 2 2 0 0 2 0 0 0 2 2 2 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 2 2 2 2 0 0 2 2 2 0 2 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 0 2 0 2 2 2 2 2 2 2 2 0 2 2 0 2 0 0 2 2 2 2 0 0 2 0 0 2 0 0 2 2 2 2 0 2 0 2 0 0 2 2 0 0 0 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 generates a code of length 82 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+56x^68+56x^70+48x^71+155x^72+76x^73+167x^74+178x^75+174x^76+220x^77+186x^78+244x^79+184x^80+242x^81+176x^82+276x^83+176x^84+264x^85+156x^86+200x^87+152x^88+176x^89+153x^90+74x^91+78x^92+44x^93+74x^94+4x^95+31x^96+2x^97+27x^98+12x^100+24x^102+5x^104+4x^106+1x^114 The gray image is a code over GF(2) with n=164, k=12 and d=68. This code was found by Heurico 1.16 in 4.31 seconds.