The generator matrix

1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 2 0 1 1 1 1 1 1 1 1 1 2 0 1 2 1 1 1 2 1 0 1 1 0 2 2 0 1 0 0 1 0 1 2 1 1 0 1 1 1 2 1 0 0 1
0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 1 3 1 3 3 1 1 2 1 0 1 0 1 2 1 3 3 2 2 1 2 3 0 1 1 2 1 1 2 1 1 0 3 0 1 1 1 2 0
0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 3 2 0 3 2 1 1 0 1 1 2 0 1 2 2 2 0 0 3 2 0 1 1 3 1 0 1 3 0 1 1 2 2 3 0 0 3 2 0 3 3 0 0
0 0 0 1 0 0 0 0 1 1 2 1 2 0 2 2 2 0 1 1 0 0 3 3 1 2 3 0 3 1 3 0 3 1 2 0 1 2 1 0 2 3 0 3 0 1 2 1 2 3 0 3 3 0 2 3 3 0 0 0
0 0 0 0 1 0 0 0 1 2 1 3 3 2 1 0 3 1 1 2 2 1 2 3 0 2 1 1 0 2 1 2 1 3 3 1 2 2 0 3 3 0 0 3 2 1 2 1 3 3 2 0 2 3 0 0 0 2 0 0
0 0 0 0 0 1 0 1 0 1 3 1 3 2 3 1 0 2 0 3 1 2 0 3 0 1 0 3 2 1 1 2 3 2 0 0 1 2 0 0 2 0 1 0 2 0 1 1 0 1 2 3 0 3 1 0 3 1 0 0
0 0 0 0 0 0 1 1 3 2 0 3 1 3 2 1 3 2 0 3 0 1 3 2 1 1 2 0 0 0 0 1 1 3 1 2 3 2 2 0 1 3 2 3 2 3 3 3 0 2 1 0 1 0 0 3 0 3 2 0
0 0 0 0 0 0 0 2 2 0 0 2 2 2 0 2 2 0 0 2 0 2 2 0 2 2 0 0 0 2 2 0 0 0 0 2 0 2 2 2 0 0 2 0 0 0 0 2 2 0 2 0 2 2 2 0 2 2 0 0

generates a code of length 60 over Z4 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+95x^46+114x^47+313x^48+394x^49+654x^50+736x^51+979x^52+1126x^53+1247x^54+1522x^55+1742x^56+2000x^57+2039x^58+2298x^59+2072x^60+2226x^61+2133x^62+2074x^63+1874x^64+1674x^65+1396x^66+1092x^67+912x^68+618x^69+517x^70+302x^71+248x^72+140x^73+95x^74+50x^75+44x^76+14x^77+16x^78+4x^79+6x^80+1x^84

The gray image is a code over GF(2) with n=120, k=15 and d=46.
This code was found by Heurico 1.10 in 98.8 seconds.