The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 1 1 1 1 0 2 0 2 1 1 0 1 1 1 2 2 0 1 1 1 2 1 0 1 1 2 1 0 0 0 0 1 0 2 1 2 1 1 1 1 1 0 2 1 0 1 1 2 1 0 2 1 0 0 0 1 1 1 1 0 2 1 0 1 1 0 1 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 2 3 1 0 2 0 1 1 1 1 2 0 0 2 1 1 0 1 0 3 2 1 1 1 3 0 0 1 1 1 1 1 3 1 0 0 0 1 0 0 3 2 0 1 2 1 2 3 0 1 2 1 0 1 1 1 1 2 1 3 1 1 3 0 0 3 1 1 0 0 0 0 1 1 1 0 1 0 1 1 0 2 3 1 0 3 0 1 1 3 0 1 1 3 1 2 3 2 0 1 0 0 2 3 1 1 0 0 2 1 1 2 1 2 3 2 1 1 0 1 0 3 3 3 0 1 1 1 3 1 1 1 3 1 1 0 3 2 0 0 1 1 3 0 3 1 1 0 0 3 1 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 2 0 0 2 2 0 2 2 0 2 2 2 2 2 2 2 2 2 0 2 2 0 2 2 0 0 2 2 2 2 2 2 2 0 2 2 0 0 2 0 2 2 0 2 0 2 2 2 2 0 2 2 0 0 0 0 2 2 2 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 2 2 0 2 0 2 0 2 0 2 0 0 0 0 2 2 0 0 0 0 2 2 0 2 0 0 0 2 0 2 2 0 0 2 0 2 2 2 2 2 2 0 2 0 0 2 0 0 2 0 0 2 2 2 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 2 2 0 2 2 2 2 2 0 0 2 0 2 0 2 2 2 0 0 0 2 2 0 2 0 0 2 2 0 2 2 0 2 0 0 0 0 0 2 2 2 0 2 2 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 2 2 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 0 0 0 2 2 2 0 0 2 0 2 2 2 0 0 0 2 2 0 2 2 0 2 0 2 0 2 2 0 2 0 0 0 2 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 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 0 2 2 0 2 2 2 2 2 2 2 0 2 2 0 0 2 0 2 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 0 0 0 0 2 0 2 2 0 2 2 0 2 2 2 0 0 0 2 2 0 0 2 2 0 2 2 0 2 2 0 2 2 2 0 0 0 2 0 2 0 0 0 0 0 0 2 0 2 0 2 0 0 2 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 2 0 2 0 2 0 2 2 0 0 0 2 2 0 2 2 0 2 2 2 0 2 0 2 0 0 0 2 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 2 0 0 0 2 2 2 2 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 2 0 0 2 2 0 0 2 0 2 0 0 2 2 0 2 0 2 0 0 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 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+21x^66+121x^68+328x^70+534x^72+879x^74+1187x^76+1438x^78+1774x^80+1937x^82+1930x^84+1767x^86+1487x^88+1151x^90+848x^92+497x^94+247x^96+130x^98+41x^100+33x^102+19x^104+10x^106+1x^108+1x^110+1x^112+1x^128 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 54.7 seconds.