The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 1 2 1 1 2 0 1 1 0 1 0 1 0 1 1 2 1 1 1 0 2 2 0 1 1 1 2 1 0 0 2 2 1 1 1 1 1 1 0 1 1 0 2 1 1 0 1 0 1 1 1 2 1 1 0 1 2 0 2 0 2 1 1 0 0 1 0 1 0 1 0 1 0 1 1 0 0 1 1 1 1 2 3 1 0 2 1 0 1 1 2 3 1 2 0 3 0 1 0 3 2 1 1 1 1 3 3 0 1 0 2 1 0 1 3 1 1 2 2 1 1 2 2 1 1 3 2 2 2 2 2 3 0 1 0 1 1 1 0 2 1 1 1 3 0 1 1 2 0 0 0 0 1 1 1 0 1 0 1 1 0 2 3 1 0 2 0 1 3 1 1 3 1 0 0 1 1 0 0 3 3 1 0 2 3 0 0 1 0 2 1 0 1 1 1 1 0 1 0 1 1 1 2 3 2 3 3 1 0 1 2 1 0 2 3 1 0 2 1 2 1 1 2 0 3 1 2 1 2 3 1 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 2 2 2 0 0 0 0 2 2 0 0 2 2 2 0 2 0 0 0 0 2 0 2 2 0 0 0 2 2 2 0 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 2 2 2 2 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 0 2 2 0 0 2 2 0 0 2 0 2 2 0 2 2 0 2 0 2 2 2 0 2 0 2 2 0 0 2 0 2 2 0 2 2 0 0 0 0 2 2 0 0 2 0 2 2 0 0 0 0 0 0 0 2 2 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 0 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 0 2 0 2 0 2 0 2 2 0 2 2 2 2 2 0 0 0 2 0 2 0 0 0 2 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 0 2 0 0 2 0 0 2 2 0 2 0 0 2 0 2 0 0 2 2 0 2 2 2 0 2 2 2 2 2 0 0 2 2 0 0 2 0 0 2 2 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 0 0 2 0 2 0 0 2 0 0 2 0 2 2 2 0 2 0 2 0 0 2 2 0 2 2 0 0 2 2 0 0 2 2 0 2 0 0 2 0 2 2 0 0 2 0 2 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 0 2 0 2 0 2 2 2 2 0 2 0 2 2 0 0 2 0 2 2 0 0 2 2 0 0 0 0 0 2 2 2 0 0 0 2 0 2 0 0 0 2 2 0 2 2 2 2 0 2 2 0 0 0 0 0 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 0 0 2 0 2 2 2 0 2 2 2 2 2 2 0 2 2 2 2 2 0 0 2 0 2 2 2 0 0 2 2 2 0 2 2 0 2 2 2 2 0 2 0 0 0 0 0 2 2 0 2 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 0 2 2 2 2 2 2 0 2 0 2 2 2 0 2 2 2 0 generates a code of length 82 over Z4 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+33x^66+36x^67+168x^68+102x^69+307x^70+212x^71+378x^72+410x^73+497x^74+602x^75+635x^76+736x^77+799x^78+860x^79+830x^80+1044x^81+876x^82+1124x^83+914x^84+990x^85+791x^86+822x^87+693x^88+578x^89+477x^90+338x^91+311x^92+212x^93+206x^94+88x^95+115x^96+16x^97+77x^98+12x^99+36x^100+8x^101+24x^102+2x^103+15x^104+8x^106+1x^110 The gray image is a code over GF(2) with n=164, k=14 and d=66. This code was found by Heurico 1.16 in 70.8 seconds.