The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 0 1 1 1 2 1 1 0 1 0 1 1 0 1 1 1 1 0 2 1 1 1 0 0 2 1 1 1 1 1 1 1 1 2 1 1 2 1 1 2 1 1 0 1 2 1 1 1 1 2 0 1 1 0 2 2 1 1 1 2 2 2 0 2 0 1 1 0 1 1 0 1 1 0 3 1 2 3 1 0 1 3 2 3 1 3 0 1 2 1 3 0 1 3 3 0 0 1 1 0 3 2 1 1 1 0 1 3 3 1 0 3 0 1 0 1 1 1 1 1 1 3 1 0 1 2 2 0 1 1 1 0 3 1 1 1 3 3 3 1 2 1 1 1 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 2 2 2 2 0 2 0 0 0 2 2 2 2 0 2 0 0 0 2 2 0 0 2 2 0 0 0 0 0 2 0 0 2 2 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 0 0 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 0 0 0 2 2 2 0 2 2 2 0 0 0 2 2 0 0 0 0 2 0 2 0 2 0 0 2 2 0 2 2 0 2 2 0 2 0 2 2 2 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 0 0 2 0 0 0 2 2 2 2 0 0 2 0 0 2 0 2 0 0 0 2 2 2 0 2 0 2 2 2 0 0 2 0 2 0 2 2 0 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 0 0 2 2 2 2 0 2 2 0 2 2 0 2 0 0 0 2 2 2 0 2 2 2 0 0 0 2 0 0 2 0 2 2 0 0 2 2 0 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 2 2 2 0 2 0 0 0 0 2 2 0 0 0 0 2 2 2 2 2 0 2 0 2 2 0 0 0 2 0 2 0 2 2 2 2 0 0 2 0 2 2 0 2 0 0 0 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 0 2 2 0 0 2 0 0 0 2 2 0 2 2 0 2 0 0 2 2 0 0 2 2 2 2 0 0 2 0 0 0 2 2 2 2 0 0 2 2 2 2 0 2 0 0 0 0 2 2 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 2 0 0 0 2 0 0 0 2 2 2 0 2 0 0 2 2 2 2 0 0 0 0 2 2 0 2 0 2 0 0 2 2 2 0 0 2 2 2 2 0 2 0 2 2 2 2 0 0 2 0 0 2 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 2 0 2 2 0 2 0 2 2 2 0 2 0 2 0 2 0 2 0 0 0 0 2 0 0 0 2 0 2 2 2 0 2 2 0 0 0 0 2 generates a code of length 80 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+117x^68+90x^70+393x^72+284x^74+555x^76+412x^78+548x^80+352x^82+470x^84+314x^86+299x^88+84x^90+104x^92+46x^96+17x^100+8x^104+1x^108+1x^112 The gray image is a code over GF(2) with n=160, k=12 and d=68. This code was found by Heurico 1.16 in 4.29 seconds.