The generator matrix

 1  0  1  1  1 14  1  1  0  1 14  1  1  6  1  1  4  1 10  1  8  1  1  1  1  1  6  1  4  1  2  6  1  1  1  1  1  2  1  2  1  1  1  6 12  2  1  0  0  1  1  1  1  1  1  6 14  4  2  1  1
 0  1 11  6  5  1 11  0  1  5  1  6 13  1  8  3  1  6  1  1  1  4  2 15  2  1  1  2  1  9  1  1  3  4 12  1 10  1  5  1 13 10 10  1  1  0 11  2  1 15  5  1 10  6  3  1  1  8 12 11  0
 0  0 12  0  0  0  0  4  4 12 12  0  8  4  8  0  8 12  8 12 12  4  4  4  8  0  0  8  4  8  4  4 12  0  8  4  0  0  0  4  0  4  0  0 12  4  8  4  8  4 12  4 12 12  4 12  0  0 12  0  0
 0  0  0 12  0  4  4  4 12 12  8  0  4 12  4  8 12 12  8  8  8  0  8  4  4  4  8  4  8  0  8  4 12 12  0  0  8  4  0  8  4  4  0  0  4  4  4  4  8 12  8 12 12  4  4  4 12  4 12  4  0
 0  0  0  0  8  0  0  0  0  0  8  0  8  0  0  8  8  0  0  8  8  8  0  0  0  8  8  8  0  8  8  8  0  0  8  8  0  0  0  8  0  8  8  8  8  8  0  8  8  8  0  8  8  0  0  8  8  8  8  0  0
 0  0  0  0  0  8  0  0  0  8  0  0  8  0  0  0  0  8  8  0  8  0  8  8  8  8  0  0  8  8  0  0  8  8  0  0  0  0  8  8  8  8  0  8  0  0  8  0  0  8  8  8  8  0  0  8  0  8  8  0  0
 0  0  0  0  0  0  8  0  8  0  0  8  0  0  8  8  0  8  8  8  0  0  8  8  8  0  0  0  0  8  8  8  0  8  8  0  8  8  8  8  8  8  0  8  0  0  0  8  0  0  0  8  8  8  8  8  8  0  0  0  0
 0  0  0  0  0  0  0  8  0  0  0  8  0  8  8  8  8  8  0  8  8  8  8  0  0  8  8  0  0  0  0  0  8  8  0  0  0  8  8  8  8  0  8  8  8  0  0  0  0  8  0  8  8  8  0  0  0  0  0  0  0

generates a code of length 61 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+32x^50+64x^51+142x^52+272x^53+367x^54+1172x^55+1623x^56+3372x^57+4687x^58+7570x^59+8776x^60+9916x^61+8111x^62+7620x^63+4869x^64+3458x^65+1496x^66+990x^67+404x^68+234x^69+127x^70+110x^71+49x^72+26x^73+25x^74+8x^75+6x^76+2x^77+3x^78+2x^79+2x^80

The gray image is a code over GF(2) with n=488, k=16 and d=200.
This code was found by Heurico 1.16 in 47.7 seconds.