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

generates a code of length 66 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+79x^58+212x^59+330x^60+664x^61+755x^62+1382x^63+1484x^64+2192x^65+2465x^66+2138x^67+1480x^68+1288x^69+673x^70+500x^71+245x^72+192x^73+110x^74+112x^75+41x^76+16x^77+8x^78+6x^79+2x^80+5x^82+2x^83+1x^84+1x^98

The gray image is a code over GF(2) with n=528, k=14 and d=232.
This code was found by Heurico 1.16 in 5.37 seconds.