The generator matrix

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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+102x^55+110x^56+190x^57+238x^58+400x^59+830x^60+476x^61+810x^62+352x^63+209x^64+142x^65+62x^66+98x^67+26x^68+16x^69+5x^70+6x^71+8x^72+8x^73+4x^74+2x^75+1x^102

The gray image is a code over GF(2) with n=488, k=12 and d=220.
This code was found by Heurico 1.16 in 0.538 seconds.