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  2  4  2  0  2  2  1  2  1  1  1  1 12  0  1  1  1  1  1  1  2 12  1  1  4  1  2  4  4  1  2  1  1 12  1  8  2
 0  2  0  2  0  0  2 10  8  0  6  6  4  2 12  2 12 14 12  6  0  8  2 10  6  2 10  2  8  6 12  6  0 10  8  2  2  4  2  0  6  6 12  0 14  2  2 12  2 10  4  4  8 14 12 14  2 12  2  2 12
 0  0  2  2  0  6 10  8  6  4  6 12 12 12  2 14 12 14  2  4 12 10 14 12  4  6  6  0  2  0  0  6  6  4 10 10  8  2  8  8 10 12  8  2  2  4  2  0  4  6  6  2  2  8 10 10  0  2 10  8  4
 0  0  0  4  0  0  4  0  0  0 12  0  0  0  8  4  0  4  8  8  8  8 12  8  4  0  8  8  0 12  0 12 12 12  4  0 12 12 12 12  8  4  4 12 12  4  8  4  8  0  8 12  4  0  8  8  4  4 12 12  4
 0  0  0  0 12  0 12  4  4  4 12  4  8  0 12  8 12  8  8  0  8  4 12 12  8  4  8  0  8  4  4  4 12  4  4 12  4  0  0  0  8  8 12  8 12  8  8 12  4 12 12 12  8 12  0  8 12  8  0  0  0
 0  0  0  0  0  8  0  0  8  8  8  8  8  8  0  8  0  0  8  0  8  0  8  8  0  8  0  0  8  0  8  8  8  0  0  8  8  0  0  8  8  8  8  0  0  0  0  0  0  0  0  8  8  8  0  0  8  0  8  0  0

generates a code of length 61 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+76x^52+214x^53+414x^54+708x^55+1063x^56+1562x^57+2396x^58+3390x^59+4273x^60+4642x^61+4279x^62+3578x^63+2412x^64+1408x^65+927x^66+574x^67+390x^68+214x^69+103x^70+58x^71+32x^72+22x^73+9x^74+12x^75+8x^76+2x^77+1x^84

The gray image is a code over GF(2) with n=488, k=15 and d=208.
This code was found by Heurico 1.16 in 18.3 seconds.