The generator matrix 1 0 0 0 0 0 0 0 1 1 1 2 1 1 0 1 1 0 0 0 2 1 1 2 1 2 1 1 1 0 2 1 0 1 0 2 1 0 0 2 1 1 2 1 2 1 2 1 1 1 0 2 1 1 0 1 1 1 2 1 2 1 0 2 1 1 2 1 2 1 0 0 1 1 1 1 0 0 0 2 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 0 2 2 0 0 0 0 2 2 0 0 2 0 0 0 2 2 0 0 2 0 0 0 0 1 3 1 1 3 3 1 3 3 1 1 3 1 3 1 1 1 1 1 3 1 3 1 2 1 3 3 1 1 1 1 1 0 2 3 1 0 0 1 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 1 1 3 3 1 1 1 1 3 3 1 1 3 1 2 1 0 1 1 1 1 2 1 0 1 1 2 1 3 3 1 1 3 0 1 0 2 2 0 3 2 3 3 0 3 1 1 2 2 0 1 3 0 1 3 1 1 0 1 3 1 1 0 3 3 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 2 2 2 2 0 3 1 3 3 1 1 1 2 0 2 2 3 1 0 0 0 2 1 0 2 1 1 1 3 0 0 2 0 2 1 2 0 2 0 1 0 3 3 0 3 2 2 3 3 0 0 0 3 3 3 0 1 2 1 0 2 3 3 0 0 0 0 1 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 0 2 2 0 0 2 0 0 0 2 2 2 2 0 2 1 3 3 1 1 3 3 1 3 3 1 3 3 3 3 3 2 1 0 2 3 1 2 2 1 2 1 1 3 0 2 1 2 0 0 3 1 1 3 2 3 0 0 3 2 1 1 0 1 0 0 0 0 0 1 0 0 1 2 3 1 0 0 0 1 1 1 1 2 1 1 0 1 3 2 3 3 0 3 1 2 0 1 1 1 2 1 0 1 2 3 1 3 1 2 2 3 0 1 0 0 0 0 2 1 3 1 2 1 2 3 2 2 3 2 2 2 1 1 0 2 0 0 3 0 1 0 1 1 1 3 3 0 0 0 0 0 0 0 1 0 1 3 2 3 0 1 1 0 1 1 0 0 2 0 3 2 1 1 2 3 1 2 1 0 2 3 1 3 2 2 3 3 1 3 2 0 0 2 2 1 2 1 2 3 3 1 3 2 2 2 3 1 0 2 1 0 1 0 2 1 2 1 2 3 3 0 0 1 1 1 1 1 3 0 3 2 0 0 0 0 0 0 0 1 2 1 3 3 1 0 1 0 1 2 3 1 0 2 0 1 1 3 3 0 1 0 1 0 3 2 2 3 0 1 1 1 0 0 3 0 2 1 2 3 3 1 0 1 0 1 0 2 3 3 2 3 3 1 2 0 1 1 0 1 0 0 3 2 3 1 3 0 1 3 3 0 3 3 1 1 generates a code of length 84 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+295x^68+948x^70+1802x^72+2888x^74+3915x^76+5084x^78+6227x^80+7460x^82+7663x^84+7662x^86+6907x^88+5514x^90+3816x^92+2520x^94+1504x^96+792x^98+317x^100+138x^102+54x^104+18x^106+9x^108+1x^116+1x^136 The gray image is a code over GF(2) with n=168, k=16 and d=68. This code was found by Heurico 1.10 in 335 seconds.