The generator matrix 1 0 0 0 0 0 0 0 1 1 1 0 1 2 1 1 2 0 2 1 0 2 1 1 0 2 2 1 1 0 1 1 0 0 1 2 0 2 2 1 1 0 1 1 1 1 1 2 0 0 2 1 0 1 1 2 0 2 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 1 1 3 1 1 1 1 3 1 1 1 1 1 3 3 1 1 1 1 1 2 1 0 1 1 2 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 3 2 1 1 1 1 1 0 2 0 1 1 2 2 3 0 3 0 1 1 2 2 0 1 2 3 0 1 1 1 2 3 0 1 0 2 1 1 1 0 2 3 0 0 0 0 1 0 0 0 0 0 1 2 1 3 1 1 2 0 0 2 2 0 1 3 1 0 3 1 3 0 3 0 0 0 3 1 2 2 0 1 1 0 3 3 0 1 3 3 0 2 2 1 3 2 3 2 2 0 1 3 1 0 0 0 0 0 0 1 0 0 0 1 0 1 3 3 2 1 2 1 2 2 1 1 0 0 0 3 1 0 3 2 0 2 1 2 0 2 3 0 3 3 2 2 1 1 0 3 0 1 2 3 1 2 0 2 2 1 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 2 0 2 1 1 2 3 2 2 3 2 0 0 3 1 1 3 3 2 2 0 3 1 1 1 3 3 3 2 1 0 0 0 3 3 2 1 1 0 3 0 2 2 0 0 0 1 3 0 3 2 3 2 0 0 0 0 0 0 1 0 1 3 3 1 2 1 0 2 2 1 1 1 3 1 3 0 2 3 0 0 0 0 2 2 1 1 1 1 0 3 3 0 3 0 1 0 1 2 1 2 0 1 1 3 2 2 2 2 2 1 2 3 3 2 0 0 0 0 0 0 0 1 2 2 1 2 3 1 0 2 1 3 0 2 3 2 0 3 0 3 1 2 1 1 3 0 2 0 0 1 1 0 2 2 0 2 0 0 3 1 1 3 3 0 2 0 1 3 0 3 1 3 3 2 3 1 generates a code of length 62 over Z4 who´s minimum homogenous weight is 47. Homogenous weight enumerator: w(x)=1x^0+72x^47+200x^48+388x^49+531x^50+834x^51+1084x^52+1374x^53+1825x^54+2044x^55+2569x^56+3092x^57+3380x^58+3834x^59+4323x^60+4510x^61+4739x^62+4750x^63+4398x^64+4194x^65+3677x^66+3120x^67+2699x^68+2090x^69+1656x^70+1368x^71+907x^72+616x^73+486x^74+306x^75+181x^76+106x^77+83x^78+54x^79+21x^80+14x^81+6x^82+2x^83+1x^84+1x^86 The gray image is a code over GF(2) with n=124, k=16 and d=47. This code was found by Heurico 1.10 in 186 seconds.