The generator matrix 1 0 0 0 0 1 1 1 2 0 1 1 1 0 0 1 1 2 2 1 1 2 0 1 0 2 0 0 0 0 1 1 1 2 2 1 1 1 1 1 1 1 1 1 2 2 1 0 1 1 2 2 0 0 1 1 1 0 2 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 1 1 3 1 0 2 1 0 1 1 1 0 2 0 1 2 2 2 2 3 1 1 2 2 0 3 3 1 2 3 2 2 1 0 2 0 1 2 3 1 1 1 0 0 0 1 0 0 0 1 1 1 1 3 2 0 0 1 3 1 1 0 3 2 1 2 2 2 2 3 0 1 2 1 0 1 1 1 0 0 3 2 1 1 2 2 2 1 1 1 2 2 2 1 2 1 2 0 0 1 1 0 0 0 0 0 1 0 1 1 0 3 1 2 3 0 3 0 3 2 2 0 1 1 3 2 0 1 2 3 0 2 1 3 2 0 0 0 2 0 2 3 1 1 0 3 3 1 0 2 0 1 0 3 1 0 0 3 2 3 3 3 0 0 0 0 0 1 1 0 1 1 2 2 0 3 1 0 2 1 1 2 3 2 3 1 1 2 0 1 3 1 3 3 2 2 1 3 1 1 3 1 2 3 1 1 0 3 3 1 1 2 3 1 2 2 3 2 3 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 2 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 2 0 0 0 0 2 0 2 2 2 0 0 0 0 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 2 0 0 2 0 2 2 2 0 0 2 0 0 2 0 0 0 generates a code of length 60 over Z4 who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+72x^50+88x^51+161x^52+200x^53+233x^54+240x^55+206x^56+318x^57+226x^58+260x^59+270x^60+220x^61+246x^62+232x^63+216x^64+172x^65+156x^66+146x^67+137x^68+84x^69+81x^70+54x^71+32x^72+30x^73+10x^74+2x^75+2x^79+1x^80 The gray image is a code over GF(2) with n=120, k=12 and d=50. This code was found by Heurico 1.16 in 2.06 seconds.