The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 2 1 1 0 1 1 1 2 1 1 0 1 2 1 2 1 1 0 1 2 1 1 0 1 1 1 2 1 2 0 1 2 1 0 1 1 0 0 1 2 1 1 2 1 0 1 1 2 2 1 2 1 2 1 2 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 1 1 0 3 1 0 3 1 0 3 1 3 0 1 3 0 1 1 0 0 1 2 3 1 3 1 0 1 2 3 1 3 1 3 0 1 1 0 2 1 1 1 1 2 0 1 1 1 0 1 1 1 1 2 2 1 3 1 0 2 1 1 1 0 3 1 2 2 2 1 1 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 2 0 2 0 0 2 0 2 2 2 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 2 0 2 0 2 0 0 2 2 0 0 0 2 0 2 0 2 0 0 2 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 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 0 2 0 2 2 0 0 2 2 2 0 0 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 2 2 2 2 2 0 0 0 0 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 0 2 0 0 0 0 2 0 0 0 0 2 0 2 0 0 0 0 0 2 0 0 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 0 2 0 2 0 2 2 0 2 2 2 0 0 2 0 0 2 2 2 2 2 0 2 2 2 0 2 2 2 2 2 0 0 2 0 0 0 0 2 2 2 2 2 0 0 2 0 2 0 2 0 2 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 0 2 2 2 2 2 0 2 0 0 2 2 0 0 0 0 2 0 0 2 0 2 2 2 0 0 0 2 0 0 2 0 2 2 0 2 2 2 2 2 0 2 0 0 2 0 2 2 2 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 0 0 2 2 2 2 2 2 2 0 2 0 2 0 0 0 2 0 2 0 2 0 0 2 0 2 0 2 2 2 0 2 0 2 2 0 2 0 2 0 0 2 0 0 2 2 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 0 0 0 2 0 0 0 0 2 2 2 0 2 2 0 2 2 2 2 2 0 0 0 2 2 2 0 0 2 2 0 2 0 2 2 0 2 0 2 2 0 2 2 2 2 2 0 2 2 2 0 2 2 2 2 2 2 2 0 2 2 2 2 0 0 2 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 2 0 0 0 0 2 2 2 0 0 2 2 2 0 2 0 2 0 2 2 2 0 2 2 2 0 0 0 0 2 0 0 2 2 0 0 2 0 0 0 2 2 2 0 0 0 2 0 0 0 2 0 2 0 0 2 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 0 0 2 0 0 2 2 2 2 2 0 0 2 0 0 2 0 0 2 0 0 2 0 0 0 0 2 2 0 2 2 0 2 2 2 2 2 2 0 0 0 0 0 0 2 2 0 0 0 2 0 2 2 0 0 2 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 0 2 0 0 0 0 2 2 0 2 0 0 2 0 0 0 2 0 2 2 2 2 2 2 0 0 2 2 2 2 2 0 0 0 2 0 2 2 2 0 0 0 0 2 2 0 0 2 0 0 2 0 2 0 2 0 0 2 0 0 generates a code of length 83 over Z4 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+70x^66+185x^68+301x^70+482x^72+754x^74+1109x^76+1490x^78+1786x^80+2000x^82+2036x^84+1846x^86+1495x^88+1090x^90+752x^92+440x^94+248x^96+142x^98+75x^100+48x^102+19x^104+8x^106+3x^108+2x^110+1x^112+1x^134 The gray image is a code over GF(2) with n=166, k=14 and d=66. This code was found by Heurico 1.16 in 63.4 seconds.