The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+98x^49+215x^50+324x^51+428x^52+530x^53+626x^54+736x^55+757x^56+864x^57+1016x^58+994x^59+1086x^60+1034x^61+1001x^62+1068x^63+1044x^64+884x^65+796x^66+784x^67+603x^68+508x^69+389x^70+220x^71+162x^72+106x^73+48x^74+34x^75+15x^76+8x^77+4x^78+1x^106

The gray image is a code over GF(2) with n=122, k=14 and d=49.
This code was found by Heurico 1.10 in 12.9 seconds.