The generator matrix 1 0 0 0 0 0 0 1 1 1 2 1 1 0 1 1 2 1 1 0 0 2 2 1 0 1 1 1 0 1 1 1 1 1 0 2 1 0 1 2 1 2 1 1 2 0 1 2 1 1 1 1 0 2 2 1 1 1 1 1 0 0 1 1 0 0 1 0 2 2 2 1 1 2 0 1 1 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 0 2 2 1 1 1 1 1 3 1 1 3 3 1 1 3 1 1 3 1 2 1 1 2 2 3 1 1 2 0 1 2 0 2 1 1 2 2 2 3 1 3 2 2 0 0 1 0 3 0 1 1 1 2 1 1 1 3 0 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 2 2 0 3 1 1 3 3 1 1 3 3 1 1 2 0 2 0 1 1 1 0 1 2 1 2 0 3 2 2 1 2 3 3 0 3 0 2 1 3 0 3 3 2 1 2 3 1 1 1 0 3 0 0 1 3 1 0 2 1 0 0 2 3 3 3 2 2 2 3 0 0 0 0 1 0 0 0 0 0 0 0 3 1 1 0 2 2 1 3 3 1 2 3 2 1 0 2 1 1 1 3 0 3 0 3 2 0 0 3 2 2 3 1 1 1 1 0 1 1 3 1 2 2 0 0 3 3 0 3 1 2 0 1 1 3 1 1 2 2 3 1 0 1 0 3 2 0 1 1 2 3 0 0 0 0 0 1 0 0 2 1 3 1 1 1 2 1 3 2 2 2 1 3 3 0 0 0 1 1 0 1 3 0 3 1 3 0 0 2 0 1 3 2 0 2 0 1 2 2 1 0 3 3 3 0 1 1 1 2 3 3 0 3 1 3 3 1 1 1 2 0 2 2 2 1 0 3 1 1 3 3 2 1 0 0 0 0 0 0 1 0 3 1 2 3 0 1 1 0 3 1 2 1 1 0 0 2 2 1 2 1 1 2 2 3 0 0 3 0 2 2 1 2 3 1 1 3 0 3 3 0 3 2 2 3 1 3 3 0 2 1 0 3 3 1 2 2 0 1 3 3 0 0 1 1 3 1 3 0 1 2 1 2 3 2 0 0 0 0 0 0 0 1 1 2 3 3 0 1 1 0 3 1 2 1 3 2 0 2 2 1 2 3 3 0 0 0 3 1 2 3 3 1 3 3 2 0 0 0 1 0 2 1 2 0 1 2 2 2 3 1 2 2 3 3 1 1 0 0 3 2 3 0 3 1 1 0 1 0 1 2 2 1 0 1 2 2 0 generates a code of length 82 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+85x^68+108x^69+269x^70+326x^71+450x^72+544x^73+519x^74+668x^75+661x^76+702x^77+794x^78+832x^79+821x^80+940x^81+928x^82+878x^83+906x^84+918x^85+825x^86+722x^87+689x^88+638x^89+514x^90+440x^91+366x^92+268x^93+199x^94+144x^95+99x^96+38x^97+43x^98+22x^99+18x^100+4x^101+4x^102+1x^134 The gray image is a code over GF(2) with n=164, k=14 and d=68. This code was found by Heurico 1.16 in 99.6 seconds.