The generator matrix

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

generates a code of length 61 over Z4 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+22x^49+80x^50+176x^51+231x^52+302x^53+363x^54+340x^55+413x^56+464x^57+472x^58+506x^59+499x^60+506x^61+489x^62+524x^63+474x^64+418x^65+455x^66+368x^67+326x^68+262x^69+151x^70+112x^71+92x^72+72x^73+37x^74+22x^75+12x^76+2x^77+1x^102

The gray image is a code over GF(2) with n=122, k=13 and d=49.
This code was found by Heurico 1.10 in 3.35 seconds.