The generator matrix 1 0 0 0 0 0 0 1 2 1 1 0 1 1 1 1 2 1 0 0 1 1 0 2 1 1 0 0 1 1 2 1 1 2 1 0 0 1 2 1 1 1 1 1 2 1 1 0 2 2 0 1 0 1 1 1 2 0 0 0 1 2 1 1 1 1 2 0 1 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 0 0 0 2 2 2 0 0 2 0 0 0 2 2 2 0 1 3 1 1 3 3 1 3 1 3 3 1 1 1 1 1 1 1 1 2 1 1 1 0 1 2 1 3 2 3 1 1 2 1 0 0 1 0 0 0 0 3 1 2 1 1 0 1 0 2 0 3 1 1 0 1 1 2 3 1 1 1 3 2 2 0 0 1 0 2 2 3 2 3 0 2 1 1 3 2 3 0 2 3 0 3 1 1 0 2 1 3 0 1 2 1 3 1 1 2 0 3 0 3 0 0 0 1 0 0 0 0 0 0 0 0 2 2 3 1 1 3 3 1 3 3 3 1 0 1 1 0 0 2 2 2 1 1 1 0 3 1 3 0 3 3 1 0 0 1 2 0 2 3 3 2 3 0 2 2 0 2 2 1 0 3 2 3 0 2 0 2 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 2 3 2 0 3 0 1 3 2 2 2 1 2 0 1 2 0 1 1 1 2 3 3 2 1 2 2 0 2 0 3 0 3 1 1 3 3 0 1 1 0 3 1 1 2 0 0 0 1 1 3 3 0 0 0 0 0 1 0 1 1 3 2 3 0 1 0 1 1 2 1 0 3 3 1 3 2 3 0 2 1 1 1 1 2 0 0 0 3 1 2 0 2 0 0 3 3 0 2 3 3 3 0 1 3 1 0 0 1 2 3 3 3 3 0 1 2 2 3 3 2 0 0 0 0 0 0 0 1 2 3 3 1 2 1 3 1 3 0 1 2 2 2 1 1 3 2 0 1 2 0 0 2 1 0 3 3 2 1 1 3 1 1 2 0 3 2 2 2 3 0 3 0 2 0 0 2 2 3 3 2 2 3 2 1 2 2 3 1 2 0 0 generates a code of length 70 over Z4 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+314x^58+684x^60+1198x^62+1514x^64+1732x^66+1780x^68+1842x^70+1972x^72+1800x^74+1471x^76+1016x^78+661x^80+274x^82+104x^84+16x^86+4x^88+1x^124 The gray image is a code over GF(2) with n=140, k=14 and d=58. This code was found by Heurico 1.09 in 360 seconds.