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

generates a code of length 66 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+204x^57+584x^58+972x^59+1514x^60+2180x^61+3453x^62+4642x^63+7003x^64+7516x^65+9213x^66+7860x^67+7231x^68+4764x^69+3244x^70+1918x^71+1374x^72+798x^73+505x^74+286x^75+148x^76+68x^77+25x^78+16x^79+8x^80+6x^81+2x^83+1x^92

The gray image is a code over GF(2) with n=528, k=16 and d=228.
This code was found by Heurico 1.16 in 69.9 seconds.