The generator matrix 1 0 0 0 1 1 1 2 1 1 2 1 1 2 1 1 0 2 1 1 0 0 2 0 2 0 1 1 1 2 1 0 2 2 0 0 1 1 1 1 2 1 1 2 2 1 0 1 0 1 0 0 1 1 0 2 1 1 0 1 2 1 0 1 0 0 0 0 0 0 1 1 1 1 1 1 3 3 2 1 2 2 1 1 1 2 1 2 2 2 3 2 3 1 1 1 1 1 0 0 0 0 2 0 0 2 2 0 2 1 1 1 1 1 0 1 2 1 0 0 2 1 1 0 0 0 1 0 1 2 3 1 0 1 1 2 3 0 1 2 1 3 3 0 2 1 1 1 2 2 1 2 0 1 3 3 1 3 1 3 0 1 2 3 1 0 1 1 0 2 1 0 3 1 0 1 3 1 0 2 3 0 1 2 3 0 0 0 0 1 2 1 3 3 1 3 0 0 2 3 0 3 1 1 0 3 2 3 2 2 3 1 1 2 2 3 1 1 1 3 1 3 2 3 0 1 1 1 0 0 1 2 3 3 2 2 1 3 3 0 1 1 0 3 0 3 0 0 generates a code of length 62 over Z4 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+28x^58+44x^59+16x^60+60x^61+48x^62+9x^64+16x^66+16x^67+4x^72+4x^74+4x^75+4x^77+2x^80 The gray image is a code over GF(2) with n=124, k=8 and d=58. This code was found by Heurico 1.10 in 0 seconds.