The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 0 1 1 1 2 1 1 0 1 2 2 1 0 1 1 1 2 0 2 0 0 0 0 1 1 2 1 1 1 2 1 2 1 2 1 1 1 2 2 1 1 1 0 1 1 2 1 1 2 1 1 1 1 0 1 2 1 1 2 1 1 2 1 1 2 0 1 0 0 0 1 1 1 2 0 3 1 1 1 1 3 0 0 2 1 1 0 2 1 1 2 0 3 2 0 2 1 1 1 1 1 2 0 1 2 0 3 0 1 2 3 0 2 0 1 1 0 3 1 1 1 1 1 0 0 2 1 3 3 1 3 2 3 0 0 2 1 2 0 2 1 2 2 0 0 1 0 1 1 0 1 0 3 2 1 2 3 0 1 3 1 2 1 1 2 0 0 2 1 1 0 0 1 1 0 2 0 0 0 1 2 0 1 2 0 0 3 1 2 1 3 0 2 1 1 2 0 1 1 3 1 1 2 3 3 3 3 0 3 1 3 1 0 2 3 3 3 0 0 1 1 0 0 0 1 1 0 1 1 1 0 2 3 3 2 1 0 0 3 3 3 2 0 1 1 0 1 1 3 3 3 1 0 2 0 2 3 1 2 3 0 0 2 1 1 2 2 2 1 1 1 0 1 1 0 0 1 2 1 1 0 2 0 1 2 0 3 3 1 1 3 1 2 3 2 1 0 2 1 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 2 0 2 0 0 0 2 0 0 2 0 2 0 2 0 2 0 0 2 2 2 2 0 2 2 0 0 2 0 0 2 2 2 0 0 0 2 2 0 2 0 2 0 0 0 2 0 0 2 0 2 2 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 2 2 0 0 0 0 2 2 0 0 2 2 2 2 2 0 2 0 0 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 0 2 0 0 2 2 0 0 2 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 0 2 0 0 0 2 2 0 2 2 2 2 2 2 0 2 2 2 0 2 0 0 0 0 0 2 2 0 2 0 2 2 2 2 0 2 2 0 0 2 0 0 2 0 0 2 2 2 0 0 0 2 0 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 2 0 2 2 0 2 2 2 0 2 0 0 0 2 0 2 0 0 0 0 0 2 0 2 2 2 2 0 0 2 2 2 2 2 0 0 2 2 2 2 0 2 2 2 2 2 0 2 0 2 0 2 generates a code of length 78 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+194x^68+332x^70+495x^72+426x^74+497x^76+472x^78+384x^80+350x^82+349x^84+248x^86+198x^88+66x^90+47x^92+20x^94+7x^96+6x^98+1x^100+3x^104 The gray image is a code over GF(2) with n=156, k=12 and d=68. This code was found by Heurico 1.16 in 3.47 seconds.