The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 1 0 0 1 1 0 1 1 1 0 1 1 1 0 2 1 1 0 1 1 0 1 1 1 0 2 1 1 1 1 0 1 1 0 1 1 2 1 1 2 1 1 0 2 1 1 0 1 1 1 2 1 1 0 1 1 0 1 1 0 1 1 0 1 1 2 3 1 0 3 1 1 0 3 1 0 2 2 1 3 1 1 1 1 0 3 1 3 0 1 3 0 0 1 1 3 2 0 3 1 3 0 1 3 3 1 3 0 1 2 2 1 1 2 2 1 3 1 1 1 2 3 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 0 2 2 2 2 0 0 2 2 0 2 0 2 0 2 0 0 0 2 0 0 2 0 2 2 2 0 2 2 0 0 2 0 2 2 0 2 2 2 2 2 0 2 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 2 2 2 0 2 0 2 2 2 0 0 2 0 0 2 0 2 2 2 0 0 0 0 0 0 0 2 2 2 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 2 0 2 2 0 2 2 2 2 0 2 0 0 0 2 0 2 2 2 0 2 0 2 2 2 2 2 2 2 2 2 0 2 2 0 2 0 0 2 0 0 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 2 2 2 2 2 2 0 0 0 2 2 0 2 0 2 2 0 0 0 0 2 2 0 2 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 0 2 2 0 2 0 2 0 2 0 0 0 2 2 0 0 0 0 2 0 2 2 2 2 0 0 0 2 0 2 0 0 0 2 2 0 2 2 0 2 0 0 0 0 2 2 2 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 0 2 2 2 0 2 2 0 2 2 2 2 2 0 0 2 2 0 0 0 0 2 2 0 2 2 0 0 2 0 0 0 0 2 2 0 0 2 0 0 0 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 2 0 2 0 2 2 2 2 0 0 2 0 2 0 2 2 2 2 2 0 2 2 0 2 2 0 0 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 2 0 0 0 0 2 2 0 2 0 0 2 2 2 0 0 0 2 2 0 2 0 0 2 2 2 0 2 0 0 2 2 0 2 0 2 2 2 2 2 0 0 2 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 2 2 0 2 0 0 0 0 0 2 2 2 0 2 0 2 2 2 2 2 0 0 2 0 0 2 2 2 2 0 2 0 0 0 2 0 0 0 2 0 2 2 0 2 0 0 0 2 0 0 0 generates a code of length 69 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+185x^56+66x^58+507x^60+404x^62+981x^64+850x^66+1206x^68+888x^70+1177x^72+646x^74+686x^76+212x^78+257x^80+6x^82+86x^84+22x^88+11x^92+1x^96 The gray image is a code over GF(2) with n=138, k=13 and d=56. This code was found by Heurico 1.16 in 34.8 seconds.