The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 0 0 1 1 2 1 1 2 2 0 0 0 1 1 1 2 1 2 1 1 0 1 0 1 1 2 0 2 2 0 0 1 2 1 2 1 1 2 2 2 2 1 1 1 1 1 0 1 1 1 1 2 1 1 0 1 2 1 2 1 1 1 1 1 1 2 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 3 2 2 3 0 1 1 0 1 0 3 2 2 0 2 1 1 0 0 3 2 1 3 0 1 1 1 1 1 1 2 2 2 3 1 0 2 0 0 0 3 2 0 0 0 1 2 0 2 1 2 0 1 1 1 2 1 3 0 2 2 1 2 0 0 0 1 0 0 0 1 1 1 0 2 0 1 3 1 1 0 1 1 2 1 2 3 1 1 2 1 2 0 0 1 0 3 1 0 0 1 2 0 0 1 2 2 3 3 3 0 1 0 3 1 1 2 1 0 2 1 2 3 0 0 3 0 3 3 1 3 2 3 2 2 0 3 2 2 2 2 1 0 0 0 0 0 1 0 1 1 0 1 1 0 3 2 3 2 1 2 0 1 1 3 0 2 0 3 0 3 3 2 1 1 1 0 2 1 3 3 2 1 1 3 2 2 1 2 0 1 1 1 3 0 0 1 3 2 3 0 0 0 2 0 0 0 3 3 2 3 2 0 2 1 1 2 1 2 0 1 1 0 1 0 0 0 0 1 1 0 1 1 2 3 3 0 1 3 0 3 1 3 0 2 2 1 0 0 1 3 3 2 0 2 3 0 3 2 3 1 1 1 3 1 3 3 1 2 3 1 0 1 0 3 1 3 2 1 1 2 1 1 2 1 3 2 0 1 0 3 1 0 3 0 0 0 1 3 1 1 2 1 1 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 2 0 2 2 0 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 0 0 0 0 2 2 0 2 0 0 2 0 0 2 2 2 2 0 0 0 2 2 0 0 0 0 0 2 2 0 2 2 0 0 2 2 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 2 2 0 2 2 2 0 0 0 0 0 0 2 2 0 2 0 0 0 0 2 2 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 2 0 2 0 2 2 0 0 0 0 2 0 0 0 2 0 2 2 2 0 2 2 2 0 2 0 2 0 2 0 2 2 2 2 0 2 2 2 0 2 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 0 0 0 2 0 2 generates a code of length 80 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+134x^68+431x^70+715x^72+785x^74+845x^76+775x^78+857x^80+884x^82+862x^84+679x^86+603x^88+315x^90+171x^92+89x^94+32x^96+8x^98+4x^100+1x^102+1x^118 The gray image is a code over GF(2) with n=160, k=13 and d=68. This code was found by Heurico 1.16 in 13.4 seconds.