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 0 1 0 1 1 1 1 2 1 0 2 0 1 1 1 1 2 1 1 0 1 1 1 0 1 1 1 0 2 1 1 1 1 1 1 1 2 1 1 2 1 1 2 1 1 1 0 2 1 1 1 2 1 0 1 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 1 0 1 0 3 0 1 1 0 1 1 1 3 0 1 2 1 0 3 1 0 3 2 1 2 1 3 1 1 2 3 2 2 2 1 0 1 0 3 1 1 0 1 1 1 2 1 1 0 1 1 2 0 1 2 0 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 0 2 0 2 0 2 2 2 0 2 2 0 0 0 0 0 2 2 0 2 2 0 2 2 0 0 0 2 0 2 2 2 0 2 2 0 0 0 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 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 0 2 0 2 2 0 2 0 2 2 2 2 0 0 2 2 0 2 2 2 0 2 2 0 0 0 0 0 0 2 2 0 0 0 0 2 2 2 0 0 0 0 2 2 2 0 2 0 2 0 0 2 2 2 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 0 2 2 2 0 0 2 0 2 2 0 2 0 2 2 0 2 2 0 2 0 2 0 2 0 2 0 2 0 0 2 0 2 2 2 2 0 0 0 2 2 0 0 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 0 2 2 0 2 0 2 2 2 0 2 2 2 2 2 0 2 2 0 2 2 2 0 2 2 0 0 2 0 0 2 0 0 0 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 0 2 2 2 0 0 2 0 2 2 2 0 2 0 2 2 2 0 2 2 0 2 2 2 0 0 0 0 0 2 0 0 2 0 0 2 0 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 0 2 0 2 2 2 0 0 0 0 2 2 2 0 0 0 2 0 2 2 2 0 0 0 2 0 0 2 0 2 2 2 0 0 0 2 2 2 2 2 2 0 2 0 0 2 0 2 0 0 2 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 2 0 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 2 2 0 0 0 0 2 2 0 0 0 0 2 0 2 2 0 2 0 0 0 0 0 0 2 2 2 0 2 2 2 0 0 2 0 2 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 0 2 2 0 2 2 2 2 2 2 2 0 0 0 2 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 0 0 0 0 0 2 0 2 0 0 2 2 0 0 2 0 0 2 0 2 2 2 2 0 0 0 0 0 2 0 generates a code of length 81 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+42x^68+123x^70+257x^72+253x^74+559x^76+317x^78+598x^80+382x^82+575x^84+231x^86+385x^88+158x^90+90x^92+39x^94+33x^96+22x^98+13x^100+10x^102+4x^104+1x^106+1x^108+2x^112 The gray image is a code over GF(2) with n=162, k=12 and d=68. This code was found by Heurico 1.16 in 4.28 seconds.