The generator matrix

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

generates a code of length 65 over Z4 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+36x^49+114x^50+314x^51+449x^52+656x^53+831x^54+1134x^55+1465x^56+1646x^57+2215x^58+2666x^59+3080x^60+3442x^61+3825x^62+4042x^63+4308x^64+4604x^65+4381x^66+4254x^67+3949x^68+3622x^69+3148x^70+2668x^71+2412x^72+1770x^73+1333x^74+1038x^75+670x^76+510x^77+345x^78+234x^79+145x^80+84x^81+61x^82+32x^83+28x^84+10x^85+3x^86+2x^87+5x^88+4x^89

The gray image is a code over GF(2) with n=130, k=16 and d=49.
This code was found by Heurico 1.10 in 401 seconds.