The generator matrix 1 0 0 0 0 1 1 1 1 2 1 1 0 1 2 0 2 1 0 1 1 1 1 2 0 1 2 0 1 1 2 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 2 2 0 2 1 1 0 2 1 0 0 2 1 2 1 1 1 1 1 1 0 1 0 0 0 0 0 0 2 0 0 2 2 0 2 2 2 3 1 1 3 1 1 1 1 3 1 1 1 3 1 0 2 3 0 3 2 0 1 1 2 1 1 2 2 1 0 0 1 2 0 3 0 1 1 1 1 1 2 0 0 2 2 0 3 0 0 0 0 1 0 0 0 0 1 1 1 2 3 1 1 1 2 2 2 0 3 3 1 3 1 2 0 3 1 0 3 3 1 0 2 2 0 0 1 0 0 2 0 2 1 1 0 3 2 3 1 1 0 3 3 1 3 1 2 1 1 1 0 3 3 0 3 0 0 0 0 1 0 1 2 2 0 2 1 1 3 3 3 1 0 3 2 3 0 1 0 3 3 3 2 0 2 1 1 0 3 2 0 0 3 3 0 2 0 1 1 0 3 1 3 1 2 2 3 1 0 1 1 2 0 0 0 0 0 2 2 1 2 0 1 0 0 0 0 1 1 1 3 0 1 2 1 1 2 0 3 1 3 1 1 1 2 0 0 0 0 0 3 3 3 3 3 2 2 0 2 3 0 1 0 3 0 3 2 2 2 2 0 1 1 2 1 3 3 0 3 0 1 2 3 2 0 2 1 1 0 1 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 0 0 0 2 0 0 0 2 0 2 2 0 2 2 0 0 2 2 0 0 2 0 2 0 0 2 2 2 0 0 2 2 0 0 2 2 2 0 2 2 2 2 2 2 0 generates a code of length 67 over Z4 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+47x^58+66x^59+98x^60+134x^61+154x^62+158x^63+135x^64+142x^65+132x^66+124x^67+104x^68+116x^69+103x^70+86x^71+68x^72+80x^73+74x^74+54x^75+44x^76+30x^77+29x^78+18x^79+24x^80+10x^81+3x^82+4x^83+6x^84+2x^86+2x^87 The gray image is a code over GF(2) with n=134, k=11 and d=58. This code was found by Heurico 1.16 in 0.589 seconds.