The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 2 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 0 0 1 1 1 1 0 2 1 1 1 1 2 1 1 1 0 1 1 1 2 1 1 2 1 0 0 1 1 1 0 2 1 1 2 0 0 2 1 1 1 0 2 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 1 1 2 3 1 1 1 0 0 2 3 3 3 1 1 1 0 0 3 1 1 0 0 1 1 3 2 3 3 1 1 3 0 0 3 1 3 2 3 1 0 1 2 1 3 3 1 3 1 1 0 0 3 1 0 0 1 1 2 1 1 3 1 0 1 2 0 0 2 1 0 0 0 2 0 0 0 0 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 0 2 2 2 2 0 2 0 0 2 2 0 2 0 0 2 2 2 0 0 0 0 2 2 0 2 0 2 0 0 2 0 2 2 0 0 0 2 2 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 0 2 2 0 0 0 0 0 2 2 0 2 2 2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 0 2 0 0 2 0 2 0 0 2 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 2 0 0 2 2 0 2 2 2 2 0 2 0 0 2 2 2 0 2 0 0 0 2 2 0 0 2 2 0 2 2 0 2 2 2 2 0 0 0 0 2 2 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 2 2 2 2 0 2 2 0 0 2 2 2 0 2 2 0 0 0 2 2 2 2 0 0 2 0 2 2 0 2 0 0 2 2 2 0 0 0 2 0 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 2 2 2 2 0 2 0 2 0 2 2 0 2 2 0 2 0 2 2 0 0 0 0 0 2 0 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 2 0 2 2 0 2 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 0 2 2 0 0 2 0 2 2 2 0 2 0 0 2 2 0 0 0 2 0 2 0 0 2 2 2 2 2 2 0 0 2 0 0 2 0 2 0 0 0 2 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 0 2 2 0 0 2 0 0 2 0 2 2 2 2 2 0 0 2 0 2 2 2 0 0 2 0 2 2 0 2 2 0 2 0 0 0 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 0 0 2 2 2 2 0 0 2 2 2 0 2 2 0 0 0 2 0 0 2 0 2 0 0 2 0 2 0 2 2 0 0 2 2 2 0 2 0 0 2 2 0 0 0 0 2 2 2 2 2 0 2 0 0 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 0 2 2 2 0 2 2 0 2 2 2 0 0 2 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 2 2 0 0 2 2 2 2 0 2 0 2 0 0 2 0 0 2 0 0 2 0 2 0 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 0 2 2 2 2 0 0 0 0 2 2 2 0 2 0 0 0 2 2 0 0 0 0 0 2 2 0 2 0 0 0 2 0 2 2 0 2 0 0 2 0 0 2 2 2 2 2 0 0 0 0 0 2 2 2 2 0 0 0 2 0 generates a code of length 81 over Z4 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+115x^64+4x^65+94x^66+34x^67+280x^68+118x^69+257x^70+234x^71+464x^72+392x^73+529x^74+716x^75+751x^76+988x^77+791x^78+1032x^79+805x^80+1122x^81+849x^82+1114x^83+848x^84+926x^85+741x^86+714x^87+483x^88+428x^89+461x^90+216x^91+244x^92+112x^93+221x^94+36x^95+79x^96+6x^97+108x^98+20x^100+38x^102+5x^104+6x^106+1x^108+1x^130 The gray image is a code over GF(2) with n=162, k=14 and d=64. This code was found by Heurico 1.16 in 59.3 seconds.