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 2 2 2 2 2 2 2 2 1 2 1 2 0 2 1 0 1 1 0 1 1 1 1 2 1 0 1 1 2 1 1 1 1 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 2 2 0 2 0 0 0 2 2 2 0 2 2 2 0 0 2 0 2 2 0 0 2 0 2 2 0 2 2 0 2 2 2 2 0 0 0 2 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 0 0 2 2 2 0 0 0 2 2 2 0 2 2 0 0 2 2 2 2 0 0 0 0 0 2 0 0 0 2 0 0 2 0 2 2 2 2 0 0 2 0 2 0 2 2 0 0 2 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 0 2 2 2 0 2 0 0 2 2 0 0 0 2 2 2 0 2 0 2 2 0 2 2 2 0 2 2 2 0 0 2 0 0 2 2 2 2 2 0 0 2 2 2 2 0 0 0 0 2 2 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 2 0 2 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 2 2 0 0 2 2 0 0 0 2 0 2 0 0 0 0 2 2 0 2 2 2 2 2 0 0 0 0 2 0 2 2 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 2 2 2 0 0 0 0 2 0 0 0 2 2 2 2 0 2 0 0 0 2 0 2 2 0 0 0 2 0 0 2 2 0 2 0 2 2 0 0 2 2 0 2 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 0 2 2 2 2 0 0 0 2 2 2 2 2 0 0 0 0 2 2 2 2 2 0 2 2 0 2 2 0 0 2 2 0 0 2 2 2 0 0 0 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 0 2 2 0 2 2 2 2 0 0 0 2 2 2 2 0 2 0 2 2 2 2 2 2 2 2 2 2 0 2 0 2 0 2 2 2 0 0 0 2 2 2 2 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 0 0 2 0 0 0 2 0 2 0 2 2 2 0 0 2 0 0 0 0 2 0 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 2 0 2 0 0 2 0 2 2 0 0 0 2 0 0 2 0 0 2 0 0 2 2 2 0 2 2 0 2 2 2 2 0 2 0 2 2 2 0 0 2 2 2 0 2 0 0 2 2 2 0 0 generates a code of length 83 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+67x^68+89x^70+149x^72+211x^74+245x^76+346x^78+441x^80+556x^82+515x^84+432x^86+347x^88+226x^90+143x^92+110x^94+70x^96+60x^98+49x^100+15x^102+16x^104+3x^106+4x^108+1x^132 The gray image is a code over GF(2) with n=166, k=12 and d=68. This code was found by Heurico 1.16 in 6.02 seconds.