The generator matrix

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

generates a code of length 64 over Z4 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+24x^49+103x^50+166x^51+327x^52+486x^53+594x^54+802x^55+906x^56+1094x^57+1372x^58+1538x^59+1694x^60+1806x^61+2069x^62+2128x^63+2291x^64+2316x^65+1918x^66+1964x^67+1881x^68+1582x^69+1383x^70+1190x^71+900x^72+682x^73+496x^74+342x^75+276x^76+190x^77+111x^78+56x^79+36x^80+12x^81+15x^82+6x^83+6x^84+3x^86+2x^88

The gray image is a code over GF(2) with n=128, k=15 and d=49.
This code was found by Heurico 1.10 in 52.5 seconds.