The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 2 1 1 1 2 0 1 2 2 1 2 2 1 2 2 1 1 1 1 0 1 1 1 2 0 0 1 1 1 0 1 0 1 2 0 2 1 1 1 2 1 1 1 1 1 1 0 2 1 1 0 0 1 0 2 2 2 0 1 0 1 0 1 1 0 0 1 3 1 2 1 0 2 3 1 1 1 0 1 0 0 1 1 1 2 3 2 0 2 1 2 1 3 1 1 1 3 3 2 1 3 0 3 1 1 2 0 0 3 0 3 0 1 1 3 0 1 1 3 1 0 2 3 1 1 1 0 0 0 1 1 1 0 1 0 1 1 0 2 1 3 3 2 0 1 0 3 1 3 0 1 2 0 3 1 2 3 1 2 2 2 1 1 2 0 3 2 1 2 1 0 1 3 1 1 1 1 3 0 1 0 1 0 1 3 2 0 3 3 0 1 1 1 1 0 0 1 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 0 2 2 0 2 0 2 2 0 0 0 2 0 0 2 2 0 2 0 2 0 2 2 2 0 2 2 2 2 2 2 0 0 0 2 2 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 2 2 2 2 2 2 0 0 0 0 2 2 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 0 2 0 2 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 0 2 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 0 2 2 2 2 2 0 2 0 0 2 2 0 0 2 2 2 2 0 0 2 2 0 2 2 0 0 0 2 2 2 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 0 0 0 2 2 0 0 0 0 2 2 2 0 2 0 0 2 2 2 2 0 2 2 2 0 0 0 0 2 2 2 2 0 0 2 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 2 2 2 2 2 0 0 0 0 2 2 0 2 2 2 0 0 2 2 2 2 2 2 0 2 2 0 0 2 2 0 2 2 0 2 2 2 2 2 2 2 2 0 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 2 0 2 2 0 2 0 0 2 2 0 2 2 2 2 0 2 2 0 0 0 2 2 0 0 0 2 0 2 0 0 0 0 2 0 0 0 2 generates a code of length 70 over Z4 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+14x^57+88x^58+108x^59+216x^60+184x^61+312x^62+318x^63+330x^64+392x^65+420x^66+484x^67+481x^68+528x^69+451x^70+532x^71+492x^72+534x^73+423x^74+428x^75+356x^76+288x^77+224x^78+158x^79+107x^80+100x^81+98x^82+20x^83+49x^84+8x^85+19x^86+14x^88+11x^90+2x^92+2x^94 The gray image is a code over GF(2) with n=140, k=13 and d=57. This code was found by Heurico 1.16 in 32.8 seconds.