The generator matrix

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

generates a code of length 61 over Z4 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+64x^48+80x^49+228x^50+310x^51+442x^52+508x^53+630x^54+680x^55+770x^56+924x^57+925x^58+1044x^59+1007x^60+1142x^61+1015x^62+1040x^63+995x^64+896x^65+876x^66+734x^67+570x^68+432x^69+343x^70+248x^71+212x^72+100x^73+67x^74+40x^75+29x^76+14x^77+11x^78+6x^80+1x^86

The gray image is a code over GF(2) with n=122, k=14 and d=48.
This code was found by Heurico 1.10 in 12.7 seconds.