The generator matrix

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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+125x^54+60x^55+436x^56+216x^57+832x^58+764x^59+1219x^60+1008x^61+1231x^62+724x^63+754x^64+248x^65+335x^66+52x^67+115x^68+22x^70+21x^72+13x^74+13x^76+2x^78+1x^92

The gray image is a code over GF(2) with n=488, k=13 and d=216.
This code was found by Heurico 1.16 in 1.53 seconds.