The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+76x^49+159x^50+224x^51+295x^52+370x^53+373x^54+382x^55+450x^56+472x^57+511x^58+528x^59+554x^60+480x^61+516x^62+558x^63+459x^64+398x^65+355x^66+290x^67+223x^68+228x^69+115x^70+60x^71+56x^72+22x^73+15x^74+6x^75+7x^76+2x^77+4x^78+2x^80+1x^92

The gray image is a code over GF(2) with n=120, k=13 and d=49.
This code was found by Heurico 1.16 in 10.6 seconds.