The generator matrix 1 0 0 0 0 0 0 1 1 1 2 1 1 0 1 1 2 0 1 1 0 1 0 2 1 0 1 1 0 2 1 2 2 0 1 2 0 2 1 1 2 2 0 0 1 0 2 2 2 0 1 1 2 1 1 1 2 2 1 0 1 2 1 1 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 1 1 3 1 3 1 2 3 1 0 1 2 2 0 1 2 0 2 0 1 1 3 3 1 1 2 0 0 1 1 1 1 1 2 3 0 1 0 2 2 1 3 0 1 1 1 0 1 0 2 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 3 1 1 2 1 2 1 1 0 0 3 2 2 1 1 1 1 2 1 2 0 2 0 3 1 3 0 0 1 3 1 0 3 0 0 0 1 1 2 1 2 1 2 3 2 3 3 0 3 1 3 1 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 0 1 3 1 3 1 3 3 1 3 3 1 1 1 3 1 1 3 2 3 0 1 1 0 1 2 0 0 2 3 0 2 1 2 2 1 2 3 0 1 2 2 3 1 2 0 2 1 0 0 0 0 0 1 0 0 1 2 3 1 0 0 0 0 0 0 0 2 2 2 0 2 2 2 0 0 2 2 0 3 3 3 1 1 1 3 0 3 1 1 2 0 3 1 1 1 3 1 1 2 1 3 0 2 2 1 2 0 1 2 1 0 0 2 3 1 2 2 0 0 0 0 0 1 0 1 3 2 3 0 1 1 1 2 3 2 2 3 3 3 1 1 1 0 3 0 1 0 3 2 3 1 3 0 2 0 2 1 1 3 3 3 3 3 2 2 3 1 2 3 1 2 3 2 3 2 0 2 1 2 3 1 0 3 0 3 2 0 0 0 0 0 0 1 2 1 3 3 1 0 1 0 0 0 3 1 1 1 0 1 1 3 2 2 0 2 3 0 3 0 3 3 1 2 1 3 1 3 0 3 2 2 3 1 0 3 0 3 3 0 2 3 0 1 2 1 2 1 3 0 3 0 2 3 3 0 generates a code of length 69 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+81x^56+146x^57+238x^58+386x^59+406x^60+530x^61+708x^62+666x^63+800x^64+884x^65+879x^66+1004x^67+1004x^68+960x^69+964x^70+980x^71+981x^72+934x^73+805x^74+752x^75+552x^76+468x^77+370x^78+264x^79+241x^80+154x^81+125x^82+42x^83+30x^84+18x^85+6x^86+2x^87+2x^89+1x^106 The gray image is a code over GF(2) with n=138, k=14 and d=56. This code was found by Heurico 1.10 in 15 seconds.