The generator matrix 1 0 0 0 0 0 1 1 1 2 0 1 1 1 0 0 0 1 1 2 1 1 1 1 0 1 1 2 2 0 1 1 0 2 2 2 2 1 0 1 1 1 0 0 2 1 1 0 0 1 1 1 0 0 2 1 1 1 1 1 2 1 1 2 0 1 2 1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 1 2 2 3 0 1 2 1 3 2 0 2 1 2 1 0 1 2 1 2 3 1 3 0 3 1 0 1 0 3 1 1 1 0 0 2 1 2 2 0 0 1 3 1 0 3 1 1 2 0 3 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 0 0 2 2 0 3 1 1 3 1 1 1 1 3 1 3 2 1 1 3 0 2 0 1 2 0 0 0 3 3 2 1 3 3 2 2 2 1 2 3 0 1 3 3 3 1 3 2 0 0 2 0 0 0 0 1 0 0 0 1 1 1 1 3 2 2 2 0 3 1 1 0 0 0 3 2 0 0 1 0 1 2 1 2 2 1 1 0 3 3 2 2 1 2 3 1 1 1 2 0 2 2 2 3 2 3 1 3 2 3 2 1 3 0 1 0 0 1 0 3 2 0 0 0 0 0 1 0 1 1 0 3 1 2 3 0 1 1 2 3 3 2 1 3 0 3 2 2 1 1 0 1 0 3 0 0 2 3 3 0 2 3 0 2 0 1 1 3 1 1 2 3 0 0 1 0 1 3 3 1 2 2 0 0 3 0 2 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 2 0 3 1 2 3 3 0 1 0 1 2 2 3 2 1 3 1 0 0 1 0 2 2 1 3 0 1 1 0 3 2 0 1 3 2 1 3 0 0 3 0 2 2 3 0 2 3 3 3 3 0 0 3 3 1 3 0 2 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 0 2 2 2 0 0 0 2 0 2 0 2 2 0 0 0 2 0 0 2 0 0 2 0 2 2 2 2 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 0 2 0 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 0 2 2 2 0 0 0 2 0 0 0 2 0 2 0 2 0 0 2 2 2 0 0 2 2 0 2 0 0 0 0 2 2 2 2 2 0 2 0 0 2 2 0 0 0 0 2 0 0 2 0 2 0 0 0 generates a code of length 70 over Z4 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+56x^57+175x^58+244x^59+386x^60+460x^61+539x^62+706x^63+743x^64+756x^65+800x^66+922x^67+936x^68+964x^69+933x^70+944x^71+1023x^72+954x^73+860x^74+800x^75+775x^76+660x^77+517x^78+394x^79+322x^80+200x^81+132x^82+82x^83+30x^84+44x^85+11x^86+4x^87+7x^88+2x^89+1x^90+1x^124 The gray image is a code over GF(2) with n=140, k=14 and d=57. This code was found by Heurico 1.16 in 80.5 seconds.