The generator matrix

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

generates a code of length 63 over Z4 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+111x^48+174x^49+359x^50+584x^51+880x^52+1118x^53+1405x^54+1814x^55+2206x^56+2474x^57+2861x^58+3428x^59+3849x^60+4364x^61+4585x^62+4672x^63+4496x^64+4348x^65+4128x^66+3696x^67+3218x^68+2770x^69+2191x^70+1704x^71+1268x^72+914x^73+718x^74+380x^75+301x^76+192x^77+123x^78+96x^79+46x^80+26x^81+13x^82+8x^83+8x^84+4x^85+2x^87+1x^90

The gray image is a code over GF(2) with n=126, k=16 and d=48.
This code was found by Heurico 1.10 in 190 seconds.