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 1 1 1 1 1 1 1 1 1 2 1 1 2 2 2 2 2 2 2 1 1 2 4 2 1 2 4 2 4 2 1 2 2 2 1 1 0 4 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 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 4 4 4 4 4 0 4 4 0 4 4 4 0 0 0 0 4 0 4 4 4 4 4 4 4 4 0 0 4 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 0 0 0 4 4 4 0 4 0 4 0 4 4 4 4 0 0 0 0 4 4 4 0 0 4 0 4 0 0 4 4 4 4 0 0 4 4 0 4 0 0 4 4 4 4 0 4 4 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 4 0 0 0 4 0 4 4 4 0 4 4 0 0 4 4 0 0 0 4 0 0 4 0 4 4 0 4 4 4 4 0 4 0 4 0 4 4 4 4 4 0 4 0 0 4 0 4 0 0 0 0 4 0 4 4 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 4 0 0 0 0 4 0 4 4 0 0 4 0 4 0 4 0 4 0 4 4 0 0 0 4 4 4 4 0 4 4 4 4 4 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 4 4 0 0 4 4 4 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 4 0 4 4 0 4 4 4 0 0 0 4 4 4 4 4 4 4 4 0 4 0 4 0 0 4 0 0 4 4 0 4 4 0 0 4 4 0 0 0 0 4 4 4 4 0 4 4 4 0 4 4 0 4 4 4 4 0 0 4 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 4 4 0 4 4 0 4 0 4 0 4 4 4 4 0 0 0 4 0 4 4 0 4 0 4 4 4 4 0 4 4 4 4 4 4 4 4 0 0 0 0 0 0 4 0 4 4 0 0 0 0 0 4 4 0 0 0 0 4 0 0 4 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 4 4 4 0 4 4 0 4 0 4 0 0 4 0 0 0 0 4 4 4 0 4 4 0 4 0 0 0 4 0 0 0 4 4 4 0 0 4 4 4 0 0 4 4 4 4 0 4 0 0 0 0 0 0 0 0 4 4 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 4 4 0 4 0 0 0 4 4 4 0 0 4 0 4 4 0 4 4 4 0 4 0 0 0 0 4 4 0 4 4 0 4 4 0 0 4 0 4 4 4 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 4 4 0 0 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 0 4 0 0 4 0 4 0 0 4 0 0 0 0 4 4 4 0 0 4 4 0 0 4 4 0 4 0 4 0 4 0 4 4 4 4 4 4 4 0 0 0 4 0 0 0 0 4 4 0 4 0 4 0 0 4 0 4 4 0 4 4 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 0 0 0 4 0 0 4 4 0 0 4 0 4 4 0 0 4 4 0 4 4 4 4 4 0 0 4 0 0 4 0 4 0 0 4 4 0 4 0 0 4 0 0 4 0 0 4 0 4 0 0 0 4 4 4 4 0 4 0 4 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 0 4 4 4 4 4 0 4 0 4 0 0 0 0 0 4 4 4 4 0 0 0 0 4 0 0 0 4 0 0 4 0 4 4 4 4 0 0 0 0 4 4 4 4 4 0 4 0 0 0 4 4 0 4 4 4 0 4 4 0 4 4 0 4 4 4 generates a code of length 83 over Z8 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+68x^66+143x^68+207x^70+282x^72+315x^74+484x^76+704x^78+1926x^80+4122x^82+4069x^84+1918x^86+682x^88+454x^90+347x^92+226x^94+160x^96+126x^98+72x^100+47x^102+20x^104+3x^106+5x^108+2x^110+1x^128 The gray image is a code over GF(2) with n=332, k=14 and d=132. This code was found by Heurico 1.16 in 33.2 seconds.