The generator matrix

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

generates a code of length 61 over Z4 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+24x^45+97x^46+200x^47+384x^48+628x^49+813x^50+1082x^51+1333x^52+1686x^53+2096x^54+2562x^55+3119x^56+3470x^57+3954x^58+4256x^59+4442x^60+4794x^61+4657x^62+4254x^63+4089x^64+3752x^65+3124x^66+2614x^67+2186x^68+1680x^69+1290x^70+954x^71+687x^72+538x^73+306x^74+176x^75+126x^76+54x^77+44x^78+30x^79+16x^80+12x^81+3x^82+1x^84+2x^85

The gray image is a code over GF(2) with n=122, k=16 and d=45.
This code was found by Heurico 1.10 in 176 seconds.