The generator matrix 1 0 0 0 0 0 0 0 1 1 1 0 1 2 1 1 2 0 2 1 0 2 0 0 1 2 1 1 1 1 0 1 1 1 2 2 1 1 1 1 1 0 0 1 1 1 0 2 0 1 1 1 1 0 0 1 1 2 0 1 0 1 1 2 1 1 1 1 2 0 0 0 1 2 1 0 2 2 1 2 2 0 1 1 1 1 0 1 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 0 0 1 1 3 3 3 3 1 1 1 3 3 1 1 1 1 1 1 1 1 1 1 3 2 1 1 1 1 3 1 3 0 2 3 2 1 1 0 2 2 0 2 1 0 2 2 1 0 0 3 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 3 2 1 1 1 3 1 2 0 2 1 1 1 0 3 2 2 2 0 3 3 1 1 0 1 0 2 2 2 0 1 0 3 3 1 3 3 0 1 0 1 2 2 1 0 2 0 3 2 1 3 0 2 0 2 3 2 0 1 2 1 2 0 1 3 0 0 0 0 0 1 0 0 0 0 0 1 2 1 3 1 1 2 0 0 2 2 0 1 2 3 3 1 3 1 0 2 1 0 1 3 0 2 0 2 1 1 2 0 2 0 3 0 3 2 1 1 3 2 1 1 2 0 0 1 3 3 3 2 2 2 0 3 2 3 0 2 2 2 3 2 2 0 3 2 0 1 1 2 3 1 0 0 0 0 0 0 1 0 0 0 1 0 1 3 3 2 1 2 1 2 2 1 1 0 1 0 0 1 0 0 1 0 1 1 2 0 1 1 3 1 0 3 2 0 2 2 2 3 0 1 3 0 1 0 3 2 1 3 2 3 2 2 2 1 3 3 2 2 3 1 0 0 0 1 0 2 0 2 3 2 2 3 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 0 2 1 1 2 3 2 2 3 2 0 0 1 3 3 1 2 0 3 2 0 1 1 2 1 2 2 1 1 2 0 2 3 0 1 2 1 3 1 0 3 2 1 3 3 2 1 3 2 2 1 1 2 2 0 0 0 0 0 1 3 2 0 1 3 1 2 2 0 0 3 1 1 3 0 0 0 0 0 0 0 0 1 0 1 3 3 1 2 1 0 2 2 1 1 1 3 1 0 0 1 3 3 0 0 1 2 1 2 2 1 0 0 0 2 2 2 3 3 0 3 3 2 2 1 1 2 3 3 0 2 3 2 1 2 0 0 3 1 2 1 0 0 3 2 2 2 1 2 0 2 3 1 2 0 3 2 3 1 3 0 0 0 0 0 0 0 0 0 1 2 2 1 2 3 1 0 2 1 3 0 2 3 2 2 1 3 3 1 2 0 3 0 0 1 1 3 1 2 3 0 1 1 2 3 2 2 2 0 2 0 1 3 2 2 2 3 3 3 0 2 1 3 2 2 1 3 1 3 1 1 2 2 3 3 3 3 3 3 3 1 3 1 0 0 1 0 0 generates a code of length 86 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+117x^68+450x^70+1150x^72+1940x^74+2810x^76+4106x^78+4916x^80+5970x^82+7155x^84+7642x^86+7426x^88+6580x^90+5440x^92+3848x^94+2652x^96+1586x^98+947x^100+416x^102+246x^104+84x^106+34x^108+18x^110+1x^112+1x^116 The gray image is a code over GF(2) with n=172, k=16 and d=68. This code was found by Heurico 1.10 in 625 seconds.