The generator matrix

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

generates a code of length 65 over Z4 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+62x^50+378x^52+1022x^54+1489x^56+2188x^58+3121x^60+3678x^62+4289x^64+4362x^66+4067x^68+3188x^70+2249x^72+1364x^74+727x^76+346x^78+168x^80+40x^82+19x^84+6x^86+4x^88

The gray image is a code over GF(2) with n=130, k=15 and d=50.
This code was found by Heurico 1.10 in 72.2 seconds.