The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 2 1 2 1 2 2 1 2 1 2 1 1 1 1 2 0 1 1 0 1 1 2 0 2 2 1 1 1 1 2 0 2 2 1 2 0 1 2 2 2 1 1 2 0 0 0 1 2 1 1 0 1 1 1 1 2 1 1 0 1 2 2 1 0 1 0 1 0 0 0 1 1 1 0 2 3 1 1 1 1 1 3 0 2 0 1 1 0 3 1 3 2 0 2 1 2 2 3 0 3 3 1 2 2 1 3 1 3 2 1 0 2 1 0 2 1 3 1 1 1 2 3 2 2 1 0 0 0 3 3 0 0 0 3 2 0 0 0 1 2 1 2 1 2 2 0 0 1 0 1 1 0 1 0 1 1 2 0 0 1 1 1 1 0 1 2 3 2 2 3 2 1 1 3 0 1 2 1 0 2 2 1 0 1 0 2 0 1 2 3 2 1 2 3 1 0 3 1 0 0 3 2 1 2 3 0 3 0 1 0 1 3 1 1 2 2 3 1 3 3 1 1 2 0 0 0 0 0 1 1 0 1 1 1 0 3 0 2 1 2 3 3 1 3 0 3 2 1 3 2 2 1 0 3 0 3 0 3 1 0 1 0 1 1 0 3 2 3 3 3 1 2 1 3 0 3 0 1 2 2 3 2 0 1 0 1 0 1 2 0 0 1 1 2 2 1 2 0 0 0 3 0 1 1 1 0 0 0 0 2 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 2 0 2 2 0 2 0 0 2 2 2 2 0 2 2 2 2 2 2 0 0 0 2 0 0 0 2 2 2 2 2 0 2 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 0 2 2 2 2 2 2 2 0 2 0 2 0 2 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 0 0 0 2 2 2 2 0 2 2 2 0 0 2 2 2 0 0 0 2 2 0 0 0 0 2 0 0 2 0 2 2 0 0 2 0 2 2 0 2 2 2 0 0 0 2 0 2 0 2 2 0 2 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 0 2 0 2 2 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 2 0 0 2 0 0 2 0 0 2 0 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 2 2 0 2 0 0 2 0 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 0 2 0 0 0 2 2 0 2 0 0 2 0 2 0 2 0 2 0 0 2 2 0 0 0 2 2 0 2 2 2 2 2 2 0 0 0 0 2 0 2 0 0 2 2 0 0 2 0 0 0 0 0 2 0 2 0 0 0 2 2 generates a code of length 80 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+198x^68+380x^70+681x^72+700x^74+853x^76+818x^78+968x^80+944x^82+843x^84+640x^86+519x^88+284x^90+225x^92+66x^94+53x^96+8x^98+8x^100+2x^104+1x^116 The gray image is a code over GF(2) with n=160, k=13 and d=68. This code was found by Heurico 1.16 in 13.5 seconds.