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

generates a code of length 60 over Z4 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+70x^49+155x^50+228x^51+296x^52+352x^53+380x^54+410x^55+489x^56+464x^57+485x^58+508x^59+518x^60+552x^61+523x^62+504x^63+445x^64+418x^65+341x^66+296x^67+248x^68+164x^69+152x^70+94x^71+49x^72+24x^73+11x^74+8x^75+2x^76+4x^77+1x^94

The gray image is a code over GF(2) with n=120, k=13 and d=49.
This code was found by Heurico 1.10 in 3.35 seconds.