The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 2 1 1 0 0 1 2 1 1 1 0 1 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 2 1 2 1 1 2 1 0 1 1 1 1 1 1 2 1 1 2 1 2 0 2 1 1 0 1 1 0 2 1 2 1 1 1 0 2 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 3 1 0 3 1 0 3 1 0 3 1 1 0 1 3 1 0 1 0 3 2 1 1 0 1 3 1 2 3 3 0 1 0 3 1 3 1 2 0 0 3 1 2 1 1 0 1 2 1 1 0 1 2 1 2 1 3 0 0 0 3 1 1 2 2 1 3 1 1 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 2 2 0 0 0 2 2 2 2 0 0 2 0 0 2 0 0 0 0 2 2 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 2 0 2 0 2 2 2 2 2 0 2 0 0 2 2 2 2 2 2 2 0 2 2 2 0 0 2 2 2 0 0 0 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 2 2 0 0 0 0 2 2 2 2 2 0 0 2 0 0 2 0 2 0 0 0 2 2 0 0 0 2 2 2 0 2 0 2 0 2 0 0 2 0 0 2 0 2 2 0 0 2 2 0 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 2 0 2 0 2 2 2 2 0 0 2 2 2 2 2 0 0 2 0 0 2 2 2 0 2 0 0 2 2 2 2 0 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 2 0 0 2 2 2 0 0 2 0 0 2 2 2 0 2 0 2 0 0 0 0 2 0 0 2 2 0 0 0 0 0 0 2 2 0 2 2 2 0 2 2 2 0 0 2 2 0 0 0 0 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 0 2 2 0 0 0 2 0 2 0 2 2 0 0 0 0 2 0 0 2 2 2 0 2 0 2 0 0 0 2 0 2 2 0 2 2 0 0 0 2 2 0 2 0 0 0 0 0 2 2 2 0 2 2 2 0 2 0 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 0 2 2 0 2 2 2 0 2 2 2 2 0 2 0 2 2 2 2 0 2 0 0 2 2 0 0 0 0 2 2 0 0 2 0 2 2 2 0 2 0 0 2 2 2 0 2 2 2 0 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 2 0 2 0 2 2 0 2 2 2 2 0 0 2 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 2 0 2 0 2 2 2 0 2 2 0 2 2 0 0 2 2 0 2 2 2 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 0 2 0 2 0 2 2 0 0 0 0 2 0 0 0 2 2 2 0 0 0 2 0 0 2 0 0 0 2 0 0 2 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 2 0 2 0 2 0 2 2 0 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 2 0 2 2 0 0 0 2 2 0 0 2 0 2 0 2 2 2 0 0 2 2 2 2 2 0 2 2 0 2 2 2 0 2 0 0 2 2 2 2 2 0 2 2 2 2 2 0 2 0 2 0 2 0 0 0 0 2 2 0 0 2 2 0 0 generates a code of length 86 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+124x^68+28x^70+446x^72+204x^74+916x^76+726x^78+1505x^80+1306x^82+2137x^84+1588x^86+2103x^88+1396x^90+1636x^92+654x^94+834x^96+194x^98+347x^100+44x^102+121x^104+4x^106+55x^108+12x^112+2x^120+1x^124 The gray image is a code over GF(2) with n=172, k=14 and d=68. This code was found by Heurico 1.16 in 64.4 seconds.