The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 2 1 2 2 2 1 1 2 2 1 1 0 2 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 0 2 0 2 0 0 2 0 0 0 0 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 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 0 0 0 0 2 2 0 0 2 2 2 0 2 2 0 2 0 0 0 2 2 2 0 0 0 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 0 2 0 2 2 0 0 0 0 2 0 2 2 2 2 0 2 2 2 2 2 2 0 2 2 0 0 0 0 2 0 2 0 0 2 0 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 2 2 0 2 2 0 0 2 0 0 2 0 0 2 2 2 2 2 0 2 0 0 0 0 2 2 0 0 0 2 2 2 2 2 2 2 0 0 0 0 2 0 0 2 0 2 0 0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 2 2 0 0 2 2 2 2 2 0 2 0 2 2 0 2 0 2 2 0 0 0 0 2 0 2 2 2 0 0 2 2 0 2 2 0 2 2 2 0 0 2 2 2 0 0 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 2 2 0 0 2 2 0 0 0 2 2 2 0 0 0 2 2 2 2 0 0 2 2 0 2 2 0 0 2 0 2 2 0 2 0 0 0 0 2 0 0 2 0 2 0 2 2 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 0 2 2 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 2 0 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 0 0 0 2 2 2 2 0 2 0 0 2 2 0 0 2 0 2 2 0 2 2 0 2 0 0 0 0 2 2 0 2 2 0 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 0 2 0 0 0 2 2 0 0 0 2 2 2 2 2 2 0 0 2 2 2 0 0 2 0 2 2 0 0 2 0 0 0 2 2 2 0 2 2 2 0 2 2 2 0 2 0 0 2 0 2 2 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 2 0 2 2 0 2 0 2 2 2 2 0 0 0 0 2 0 2 2 0 2 0 2 2 0 2 0 0 0 2 0 2 0 2 0 0 2 2 2 0 0 0 0 0 0 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 2 2 0 2 0 0 2 0 0 2 0 0 0 0 0 2 0 2 2 0 0 2 2 0 0 0 0 2 0 2 0 0 0 2 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 0 2 2 0 0 2 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 2 0 0 0 0 0 generates a code of length 82 over Z4 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+212x^64+653x^68+875x^72+80x^74+1447x^76+960x^78+2946x^80+2016x^82+2934x^84+960x^86+1538x^88+80x^90+914x^92+511x^96+189x^100+59x^104+7x^108+1x^112+1x^144 The gray image is a code over GF(2) with n=164, k=14 and d=64. This code was found by Heurico 1.16 in 87.4 seconds.