The generator matrix 1 0 0 0 0 0 0 1 1 1 2 1 1 0 1 1 0 1 0 2 1 2 0 1 1 0 1 2 1 1 0 2 1 1 1 1 2 1 2 1 1 1 1 1 2 0 1 2 2 2 0 1 2 0 1 2 1 1 2 1 1 1 2 2 0 1 2 1 1 1 2 0 1 0 1 1 2 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 2 2 0 1 1 3 3 1 1 1 3 3 1 1 1 3 1 3 2 3 1 3 0 2 2 1 1 1 3 1 1 1 1 1 1 0 3 0 3 3 0 3 2 2 2 1 1 0 0 1 1 0 2 1 2 1 1 3 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 2 2 0 3 3 1 1 1 1 1 3 2 3 2 2 0 1 3 0 1 3 0 1 1 1 0 2 1 1 2 1 3 2 0 3 1 3 1 2 0 3 2 0 1 1 3 2 0 1 3 0 1 3 0 2 1 3 0 1 1 3 0 0 3 3 2 3 0 2 1 0 0 0 1 0 0 0 0 0 0 0 3 1 1 0 1 3 1 2 1 2 3 3 1 2 0 2 1 1 1 0 2 1 3 2 0 1 0 1 3 2 3 0 2 0 0 1 0 0 1 0 2 2 2 3 1 0 3 1 3 3 3 1 2 1 3 0 1 2 1 1 0 2 3 1 3 3 0 0 3 0 0 0 0 0 1 0 0 2 1 3 1 1 1 2 1 2 1 2 2 3 1 0 3 1 3 2 3 0 3 0 1 0 1 2 1 1 1 0 1 0 1 3 2 0 1 2 1 2 1 2 0 3 3 0 2 3 0 1 2 1 2 2 1 3 0 0 0 2 1 2 2 1 2 1 3 2 1 1 1 2 0 0 0 0 0 0 1 0 3 1 2 3 0 1 1 0 0 0 3 3 3 1 0 0 3 1 1 2 1 2 1 3 2 2 1 0 3 3 3 0 2 3 2 0 3 1 1 2 3 0 2 2 1 2 1 3 2 0 2 0 0 1 3 3 0 1 1 3 3 1 3 2 3 1 3 3 2 0 3 0 1 3 0 0 0 0 0 0 1 1 2 3 3 0 1 1 0 0 0 3 1 1 3 0 0 3 1 1 2 3 0 3 1 3 1 0 1 2 2 0 3 1 2 3 1 0 0 2 0 2 2 1 2 2 3 0 3 1 1 0 3 2 1 2 3 3 1 3 0 3 0 1 2 0 1 1 2 0 0 2 3 0 3 generates a code of length 81 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+259x^68+668x^70+959x^72+1288x^74+1561x^76+1672x^78+1738x^80+1860x^82+1730x^84+1654x^86+1268x^88+772x^90+541x^92+240x^94+120x^96+32x^98+13x^100+6x^102+1x^104+1x^128 The gray image is a code over GF(2) with n=162, k=14 and d=68. This code was found by Heurico 1.16 in 96.2 seconds.