The generator matrix

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

generates a code of length 63 over Z4 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+72x^49+166x^50+316x^51+423x^52+596x^53+786x^54+946x^55+1102x^56+1278x^57+1441x^58+1700x^59+1908x^60+1994x^61+2369x^62+2300x^63+2313x^64+2186x^65+1944x^66+1906x^67+1615x^68+1328x^69+1093x^70+918x^71+616x^72+514x^73+315x^74+204x^75+196x^76+82x^77+69x^78+28x^79+16x^80+14x^81+6x^82+2x^83+2x^84+3x^86

The gray image is a code over GF(2) with n=126, k=15 and d=49.
This code was found by Heurico 1.10 in 105 seconds.