The generator matrix

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

generates a code of length 60 over Z4 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+58x^50+116x^51+144x^52+172x^53+220x^54+268x^55+259x^56+260x^57+271x^58+242x^59+194x^60+240x^61+278x^62+222x^63+225x^64+246x^65+154x^66+126x^67+108x^68+90x^69+102x^70+46x^71+27x^72+14x^73+5x^74+4x^75+2x^76+2x^77

The gray image is a code over GF(2) with n=120, k=12 and d=50.
This code was found by Heurico 1.10 in 0.719 seconds.