The generator matrix

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

generates a code of length 64 over Z4 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+61x^50+170x^51+312x^52+490x^53+563x^54+752x^55+940x^56+1182x^57+1320x^58+1522x^59+1736x^60+1824x^61+2125x^62+2124x^63+2166x^64+2238x^65+2216x^66+1986x^67+1904x^68+1618x^69+1293x^70+1266x^71+847x^72+658x^73+489x^74+328x^75+248x^76+154x^77+107x^78+42x^79+29x^80+24x^81+17x^82+2x^83+8x^84+2x^85+1x^88+2x^89+1x^90

The gray image is a code over GF(2) with n=128, k=15 and d=50.
This code was found by Heurico 1.10 in 112 seconds.