The generator matrix

 1  0  1  1  1  6  1  1 12  1 10  1  1  1  1  0  1  1  6  1  1 12  1 10  1  1  1  0  1  1  6  1  1 12  1 10  1  1  1  1  1  1  1  1  2  1  1  1  6  1  2 10  0  1  1  2  1  1  2
 0  1  3  6  5  1 12 15  1 10  1  9  5  3  0  1 15  6  1  9 12  1 10  1  5  3  0  1 15  6  1  9 12  1 10  1  5 13  3 11 15  9  7  1  6  3 11  0  1  9 12  1  2  6  1  4 11 15 12
 0  0  8  0  0  0  0  0  8  8  0  8  8  0  0  8  8  8  0  0  8  8  8  8  8  0  0  0  8  0  0  0  8  0  0  8  8  0  8  8  0  0  8  8  0  8  0  0  8  8  8  0  8  8  8  0  0  8  0
 0  0  0  8  0  0  0  0  8  8  8  0  0  8  8  8  8  8  8  8  0  0  0  0  8  0  8  0  8  8  0  0  8  8  0  0  8  8  0  8  8  0  0  0  0  8  0  0  0  0  8  8  0  8  8  8  8  0  0
 0  0  0  0  8  0  0  8  0  0  0  8  8  8  0  0  8  0  0  8  0  0  0  0  8  8  0  0  8  0  0  8  0  0  0  0  8  8  8  0  8  0  8  0  8  0  0  8  8  8  8  8  8  8  0  8  8  0  8
 0  0  0  0  0  8  8  8  8  0  8  0  8  0  8  0  8  8  0  8  8  8  0  0  0  0  0  8  0  8  0  8  0  8  0  8  8  0  8  0  8  8  0  0  0  8  0  8  0  8  0  0  0  8  8  8  8  8  8

generates a code of length 59 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+139x^54+168x^55+481x^56+440x^57+570x^58+592x^59+528x^60+432x^61+419x^62+136x^63+131x^64+24x^65+22x^66+8x^68+1x^70+1x^72+2x^80+1x^94

The gray image is a code over GF(2) with n=472, k=12 and d=216.
This code was found by Heurico 1.16 in 0.374 seconds.