The generator matrix 1 0 0 0 1 1 1 1 0 1 2 1 0 1 2 1 1 1 1 1 0 2 1 1 2 0 0 0 1 1 1 0 2 1 1 0 1 1 0 0 1 1 1 1 2 2 1 1 1 1 0 2 1 2 0 1 0 0 1 1 2 2 1 2 1 1 2 1 1 0 1 0 0 0 1 1 2 1 3 1 3 1 2 2 3 3 1 0 2 0 1 2 3 1 1 1 2 2 1 1 1 1 1 3 1 2 3 0 1 2 2 3 1 1 2 2 3 3 1 2 1 0 0 1 1 1 1 2 1 1 2 2 1 2 3 2 0 0 0 0 1 0 1 1 0 0 3 0 2 3 3 2 1 3 0 3 0 1 2 0 3 0 1 2 3 1 2 0 3 1 2 1 0 0 2 2 1 0 3 0 1 1 2 0 1 3 0 3 2 1 0 2 0 0 3 1 1 1 2 1 2 2 3 2 2 3 0 0 0 0 1 1 0 1 1 3 2 3 3 0 2 1 0 2 3 1 0 1 2 3 3 3 1 2 1 3 3 3 2 1 2 2 0 0 3 0 3 2 1 0 1 2 1 2 1 2 0 1 1 3 1 3 1 2 2 1 3 0 1 3 2 2 1 1 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 2 2 2 2 2 0 2 2 2 0 2 2 2 2 2 0 0 0 2 0 0 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 2 2 2 2 0 0 0 0 0 2 2 0 2 2 0 0 2 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 0 0 2 0 2 0 0 0 2 0 0 0 2 0 2 2 2 0 2 0 0 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 2 0 2 0 2 0 0 0 2 2 2 0 0 2 2 2 0 2 0 0 2 2 2 0 2 0 2 0 2 0 2 2 2 2 2 0 2 0 0 0 0 2 0 2 0 0 0 generates a code of length 69 over Z4 who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+64x^60+78x^61+99x^62+138x^63+152x^64+146x^65+117x^66+142x^67+107x^68+136x^69+125x^70+108x^71+90x^72+68x^73+90x^74+72x^75+62x^76+54x^77+53x^78+38x^79+29x^80+26x^81+25x^82+10x^83+7x^84+4x^85+3x^86+4x^87 The gray image is a code over GF(2) with n=138, k=11 and d=60. This code was found by Heurico 1.16 in 0.671 seconds.