The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 2 1 1 0 1 1 0 1 2 1 1 1 1 1 1 0 0 1 1 1 1 1 0 2 1 0 2 1 1 0 1 2 1 1 1 0 1 1 1 2 2 2 1 0 1 1 2 1 0 1 0 1 0 1 1 1 1 1 1 2 1 1 1 0 0 1 0 1 1 0 1 1 0 1 1 0 1 1 2 3 1 0 3 1 0 3 1 3 1 0 0 2 3 3 0 1 1 0 0 3 2 1 1 1 0 1 1 3 3 1 2 1 3 0 3 1 3 1 0 1 1 1 3 1 3 0 1 0 1 3 1 0 1 2 0 3 2 1 3 1 3 1 3 1 1 3 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 0 2 2 0 2 2 0 0 2 2 2 0 2 0 2 2 0 0 0 2 0 2 0 0 0 2 2 2 2 0 0 2 2 2 0 2 2 2 0 0 2 2 0 0 0 2 0 0 2 2 0 0 2 0 0 0 0 2 0 0 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 0 2 0 2 2 2 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 2 0 2 0 0 2 2 2 2 2 0 0 2 0 0 0 2 2 0 0 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 0 0 2 2 2 0 0 2 2 2 0 0 2 2 2 2 0 0 2 0 2 2 2 2 0 2 2 2 0 2 0 0 0 2 2 2 2 0 0 2 0 0 0 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 0 2 2 0 2 0 2 2 2 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 0 2 2 2 0 2 0 0 2 0 2 0 2 2 0 0 0 2 0 0 2 2 2 0 2 2 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 2 2 0 2 2 0 0 2 0 2 2 0 2 2 0 0 0 2 2 0 2 0 2 0 0 0 2 0 2 2 0 2 2 2 2 0 2 0 0 2 0 2 0 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 2 2 0 2 2 0 0 2 0 2 0 0 0 0 2 2 2 2 0 2 2 2 2 0 0 0 2 0 0 2 0 2 0 0 0 0 2 0 2 2 2 0 0 2 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 2 0 0 2 0 2 0 2 2 2 2 0 2 2 2 0 2 0 2 2 2 0 0 2 2 2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 0 2 2 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 2 0 0 0 0 2 2 2 2 2 0 2 0 0 0 2 0 2 2 0 0 2 0 0 2 2 2 0 2 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 0 2 2 2 0 2 2 2 0 0 0 2 2 2 0 2 0 0 2 0 2 2 0 2 2 0 0 2 0 2 0 2 2 2 0 0 2 0 0 0 0 0 0 0 2 2 0 2 0 0 0 2 2 2 2 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 0 2 2 2 0 2 0 2 2 0 0 2 2 0 2 2 0 0 0 2 2 0 0 2 2 2 2 0 0 2 0 2 2 2 2 0 2 2 2 0 2 0 0 2 2 2 0 2 0 2 0 0 2 2 2 2 0 2 0 2 generates a code of length 80 over Z4 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+186x^64+28x^66+588x^68+288x^70+1160x^72+1080x^74+1966x^76+1676x^78+2451x^80+1676x^82+2013x^84+1080x^86+1152x^88+288x^90+493x^92+28x^94+156x^96+59x^100+11x^104+1x^108+2x^112+1x^120 The gray image is a code over GF(2) with n=160, k=14 and d=64. This code was found by Heurico 1.16 in 58.9 seconds.