The generator matrix 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 1 2 2 1 0 1 1 1 0 0 1 0 2 2 1 2 1 1 1 0 0 2 1 2 1 1 2 2 0 0 0 2 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 1 2 1 1 2 3 2 3 1 1 1 1 2 0 1 2 1 3 1 1 0 1 2 2 2 1 1 3 0 1 2 1 0 0 1 3 2 0 2 1 0 0 3 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 3 3 0 1 0 2 1 3 2 1 2 0 3 0 3 0 0 0 3 3 3 1 1 1 3 2 2 0 0 1 2 0 2 3 2 0 0 0 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 2 3 2 1 2 3 1 0 1 0 0 1 2 0 3 2 3 1 0 3 1 2 3 0 0 1 2 0 3 3 2 1 3 3 1 2 1 3 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 2 3 1 3 0 0 3 3 3 0 2 1 2 1 3 0 0 2 0 1 0 3 2 2 0 3 1 1 3 3 1 2 2 3 2 2 0 3 1 0 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 2 3 1 2 3 2 3 2 3 0 2 2 3 1 1 3 1 2 0 2 3 2 1 3 3 0 3 1 2 0 3 3 0 3 0 1 3 2 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 0 3 2 2 3 2 0 3 1 1 0 3 1 0 3 0 1 3 0 2 0 3 1 0 2 3 0 2 3 0 1 2 0 2 1 1 1 2 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 2 2 2 2 0 2 2 0 0 2 2 0 2 0 0 2 0 0 0 2 2 2 2 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 generates a code of length 60 over Z4 who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+32x^39+66x^40+122x^41+153x^42+192x^43+273x^44+330x^45+413x^46+556x^47+623x^48+704x^49+839x^50+934x^51+1012x^52+1080x^53+1229x^54+1276x^55+1383x^56+1378x^57+1403x^58+1516x^59+1507x^60+1580x^61+1550x^62+1500x^63+1374x^64+1312x^65+1147x^66+992x^67+1033x^68+956x^69+883x^70+752x^71+621x^72+502x^73+412x^74+342x^75+228x^76+184x^77+139x^78+82x^79+58x^80+38x^81+22x^82+16x^83+11x^84+6x^85+2x^86+2x^87+2x^88 The gray image is a code over GF(2) with n=120, k=15 and d=39. This code was found by Heurico 1.16 in 97.9 seconds.