The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 1 0 1 0 1 2 1 2 1 1 2 1 1 1 1 0 1 1 0 2 1 1 2 0 0 1 0 0 1 1 2 1 1 0 0 2 0 1 0 1 1 0 1 1 1 1 1 1 2 1 0 0 1 2 2 1 0 1 0 1 0 1 1 0 0 1 3 1 1 2 0 2 0 3 1 3 1 3 2 1 0 1 1 3 1 2 2 0 2 2 3 1 2 1 0 1 1 3 1 2 2 2 1 1 1 1 1 2 3 2 1 0 0 3 2 1 1 0 0 1 1 2 0 1 0 0 0 1 1 1 0 1 0 1 3 2 2 1 0 1 1 1 3 2 2 3 0 3 3 0 1 1 3 0 1 0 1 1 1 1 3 1 3 0 1 0 0 2 1 3 0 1 2 2 1 1 1 2 2 3 1 2 3 2 1 2 1 3 2 2 1 1 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 0 0 2 2 2 2 0 2 0 0 0 2 0 2 2 2 0 0 0 0 2 2 0 0 2 0 2 2 2 2 2 2 2 2 0 2 0 2 0 2 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 2 2 0 0 2 0 2 2 0 2 2 0 2 0 2 2 2 2 2 0 2 0 2 2 0 0 0 2 0 2 2 2 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 0 2 0 2 0 2 2 2 2 0 2 2 0 0 2 2 2 2 2 2 2 2 2 2 0 0 2 0 2 0 0 0 0 2 2 0 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 2 0 2 2 0 0 0 0 2 0 2 0 0 2 0 2 0 0 0 0 2 2 2 0 2 0 0 2 2 0 2 2 2 0 0 2 0 0 2 2 2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 2 2 2 2 0 2 0 2 0 0 2 0 2 0 2 0 2 0 2 2 2 0 0 2 0 2 0 2 2 2 2 0 2 2 0 2 0 2 0 2 0 2 2 0 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 0 0 0 0 0 2 2 0 2 2 0 2 2 0 2 2 0 2 0 2 2 0 2 0 2 2 2 2 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 2 2 0 2 2 0 2 generates a code of length 69 over Z4 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+57x^58+60x^59+130x^60+140x^61+180x^62+218x^63+242x^64+238x^65+221x^66+268x^67+209x^68+284x^69+256x^70+216x^71+218x^72+224x^73+178x^74+168x^75+145x^76+120x^77+92x^78+78x^79+55x^80+18x^81+29x^82+16x^83+19x^84+8x^86+4x^88+3x^90+1x^92 The gray image is a code over GF(2) with n=138, k=12 and d=58. This code was found by Heurico 1.16 in 2.92 seconds.