The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 1 2 1 0 0 1 1 2 1 1 1 1 2 0 2 1 2 2 1 1 2 0 1 0 1 0 1 0 2 1 1 0 1 1 0 2 2 1 2 1 0 0 0 0 1 0 1 2 2 0 1 1 0 2 0 0 1 0 1 0 0 0 0 0 0 0 0 2 1 3 1 0 2 1 3 1 1 0 3 3 1 1 1 2 1 1 2 2 2 0 1 2 2 2 0 2 1 0 3 2 2 2 1 1 0 1 1 1 0 2 0 0 1 3 1 1 0 2 1 1 3 2 1 1 0 3 0 0 1 0 0 0 0 0 0 0 3 2 1 1 1 1 0 2 1 3 3 2 0 1 3 0 1 3 0 1 2 0 2 2 3 1 1 1 2 0 1 2 3 1 2 0 1 1 0 0 2 2 1 1 1 1 0 1 0 1 1 3 2 1 1 0 3 1 2 0 0 0 1 0 0 2 1 3 1 1 3 2 1 1 2 1 0 3 2 0 3 0 1 1 3 1 0 2 1 1 3 1 1 3 1 0 2 0 3 0 1 2 1 0 0 2 2 2 1 3 2 2 0 0 2 0 0 2 1 1 3 3 3 0 3 2 1 1 0 0 0 0 1 0 3 1 2 3 0 0 0 0 3 3 1 3 2 0 1 1 0 1 1 0 2 3 1 1 0 3 1 2 3 0 2 1 3 1 0 2 2 3 2 1 0 2 2 3 0 2 1 2 1 3 3 1 1 1 0 1 0 1 0 2 2 3 3 0 0 0 0 0 1 1 2 3 3 0 0 0 0 3 1 0 2 1 1 2 3 1 0 1 1 1 1 3 2 2 3 2 2 0 2 0 2 3 3 1 0 3 3 1 2 2 2 1 0 2 1 2 2 1 0 3 3 1 0 1 0 1 0 0 0 2 2 1 generates a code of length 69 over Z4 who´s minimum homogenous weight is 59. Homogenous weight enumerator: w(x)=1x^0+68x^59+151x^60+168x^61+178x^62+240x^63+257x^64+236x^65+243x^66+240x^67+259x^68+250x^69+195x^70+220x^71+257x^72+190x^73+163x^74+152x^75+156x^76+126x^77+81x^78+88x^79+55x^80+54x^81+30x^82+12x^83+14x^84+6x^86+4x^87+2x^88 The gray image is a code over GF(2) with n=138, k=12 and d=59. This code was found by Heurico 1.16 in 2.44 seconds.