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 0 1 2 1 1 2 1 1 0 1 1 2 1 1 1 1 1 1 1 1 0 1 2 0 0 0 2 2 0 1 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 1 1 3 1 0 1 3 0 1 1 2 1 2 1 1 1 2 2 2 2 3 3 3 1 0 1 1 2 1 1 2 2 0 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 0 2 2 0 2 0 0 2 2 0 0 2 2 2 2 0 2 2 0 2 2 2 2 0 0 0 0 2 2 2 0 2 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 0 2 2 2 2 0 2 0 2 2 2 2 2 0 2 0 0 2 2 0 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 0 0 2 0 2 2 2 2 0 2 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 2 2 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 0 2 2 0 2 2 2 0 0 0 2 0 2 0 2 0 2 2 2 0 2 2 0 2 2 2 2 0 2 0 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 2 0 0 0 2 0 2 2 2 2 0 2 0 2 2 0 0 0 0 0 2 2 2 0 0 0 2 0 0 0 0 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 2 0 0 2 2 0 0 2 0 0 0 0 2 0 0 2 0 2 2 2 0 0 2 2 2 2 2 0 0 0 2 0 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 2 0 2 2 2 2 0 2 2 2 2 0 2 2 2 0 0 2 2 0 0 2 2 0 2 0 2 2 2 0 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 2 0 2 0 2 0 0 2 0 2 0 2 0 2 0 0 2 2 2 2 2 0 0 0 2 2 2 0 2 0 0 0 2 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 0 2 2 2 0 2 0 2 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 0 2 0 0 0 2 2 2 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 0 0 2 2 0 0 0 0 2 0 2 0 2 2 0 0 0 0 2 0 2 0 0 2 2 0 0 0 2 2 0 0 2 0 generates a code of length 66 over Z4 who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+63x^50+162x^52+282x^54+516x^56+822x^58+1324x^60+1786x^62+2094x^64+2280x^66+2083x^68+1818x^70+1363x^72+807x^74+495x^76+262x^78+117x^80+57x^82+31x^84+12x^86+5x^88+2x^90+1x^92+1x^106 The gray image is a code over GF(2) with n=132, k=14 and d=50. This code was found by Heurico 1.16 in 45.8 seconds.