The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  2  2  2  2  2  2  2  1  1  1
 0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  0  8  8  8  8  8  0  8  8  0  8  8  0  0  0  8  8  8  8  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  0  8  0  0  0  8  8  8  8  0  8  0  0  8  0  8  8  0  0  0  8  0  8  8  8  8  0  0  8  8  0  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  0  8  0  0  8  8  8  0  0  8  0  0  8  0  0  8  8  0  0  8  8  8  8  8  8  0  0  8  0  8  0  8  0  0  8  0  8  8
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  0  0  0  0  8  8  0  8  0  0  8  0  8  8  0  0  0  8  8  0  8  8  0  8  8  0  0  8  0  8  8  0  8  0  0  8  0  0  8  8  0  8
 0  0  0  0  0  8  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  0  8  8  0  8  8  8  0  0  0  8  8  8  0  8  8  0  8  8  0  8  8  8  0  0  0  8  0  8  0  8  8  8  0  0  8  0  0  8  8  8  0  8  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  8  0  0  8  8  0  8  8  0  8  0  8  0  8  8  8  0  8  0  0  8  8  0  8  8  8  8  0  8  0  8  0  0  8  0  0  0  0  0  8  0  0  8  0  0  8  0  8  8  0  8  0  8
 0  0  0  0  0  0  0  8  0  0  0  0  0  8  0  0  0  8  8  8  8  0  8  8  0  8  0  8  0  8  0  0  0  0  8  8  0  8  8  8  8  8  0  0  8  0  0  8  0  0  8  0  0  8  8  0  0  0  8  8  8  0  0  0  0  8
 0  0  0  0  0  0  0  0  8  0  0  0  8  0  0  0  0  8  8  0  8  0  0  0  8  8  8  0  0  0  8  8  8  0  8  8  8  8  0  8  0  0  0  0  8  8  8  8  0  8  8  0  0  8  0  8  0  8  8  0  0  0  8  0  8  8
 0  0  0  0  0  0  0  0  0  8  0  0  8  0  0  0  8  0  0  8  0  8  0  0  8  0  0  0  0  8  8  8  0  0  0  8  8  8  8  8  8  0  8  0  8  0  8  0  0  0  0  8  0  8  8  0  8  0  8  8  8  8  0  8  0  8
 0  0  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  0  0  0  8  0  0  8  8  0  0  8  0  8  8  0  0  8  8  0  8  0  0  0  8  0  0  8  0  8  0  0  0  0  8  8  0  8  8  0  0  8  8  0  8  0  8  0  0  0
 0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  8  8  8  8  0  8  0  8  0  0  0  0  0  8  8  0  8  8  8  8  0  8  0  0  0  0  0  8  8  0  8  8  0  8  0  8  0  8  8  8  8  8  0  8  8  8  8

generates a code of length 66 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+49x^50+140x^52+208x^54+237x^56+271x^58+80x^59+309x^60+320x^61+346x^62+640x^63+339x^64+960x^65+24894x^66+1056x^67+336x^68+704x^69+342x^70+256x^71+330x^72+64x^73+264x^74+16x^75+210x^76+182x^78+116x^80+56x^82+28x^84+10x^86+1x^88+1x^90+1x^92+1x^114

The gray image is a code over GF(2) with n=528, k=15 and d=200.
This code was found by Heurico 1.16 in 33.6 seconds.