The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 1 1 1 2 1 1 2 1 2 2 1 0 1 0 1 2 0 1 1 1 1 2 2 1 1 1 1 1 2 1 2 0 0 2 1 0 1 1 1 2 0 1 1 1 0 2 2 2 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 3 1 1 2 1 2 0 1 3 1 2 1 3 1 0 3 2 2 3 1 1 2 1 1 1 3 1 2 0 1 1 2 0 1 2 3 3 2 2 1 2 2 1 0 0 2 3 3 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 1 1 3 3 1 1 2 3 0 3 0 3 3 1 1 0 2 2 1 0 3 0 0 3 1 2 2 1 2 1 1 2 1 0 1 2 2 1 0 2 2 0 2 0 1 2 2 0 0 0 1 0 0 0 1 1 1 2 2 0 1 1 1 3 2 0 3 1 3 0 1 1 2 0 2 1 2 3 2 2 2 0 0 3 2 0 3 2 2 3 2 3 3 2 3 1 1 0 1 3 3 1 3 2 1 1 1 0 3 0 0 0 0 1 0 1 0 1 3 2 2 1 3 2 2 3 1 3 2 0 2 2 3 3 3 3 2 3 0 0 3 3 3 2 2 0 2 1 1 1 2 0 0 1 1 3 3 0 1 0 0 1 1 2 2 1 1 2 3 1 3 0 0 0 0 0 1 1 3 2 1 1 3 0 1 3 0 0 0 0 2 3 3 0 0 3 3 1 1 0 0 1 1 2 0 2 3 2 3 0 0 1 2 3 1 2 2 0 2 0 3 0 1 3 2 2 3 1 0 3 3 1 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 0 0 0 0 2 2 0 0 2 2 2 2 2 2 0 0 2 2 2 0 2 0 2 2 0 2 0 0 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 2 2 0 generates a code of length 62 over Z4 who´s minimum homogenous weight is 51. Homogenous weight enumerator: w(x)=1x^0+86x^51+171x^52+206x^53+311x^54+360x^55+392x^56+454x^57+424x^58+468x^59+481x^60+478x^61+549x^62+496x^63+500x^64+516x^65+473x^66+406x^67+346x^68+298x^69+228x^70+200x^71+127x^72+86x^73+58x^74+32x^75+30x^76+10x^77+4x^78+1x^90 The gray image is a code over GF(2) with n=124, k=13 and d=51. This code was found by Heurico 1.10 in 3.77 seconds.