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

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

Homogenous weight enumerator: w(x)=1x^0+52x^58+96x^59+169x^60+298x^61+417x^62+648x^63+844x^64+1036x^65+1163x^66+1054x^67+854x^68+602x^69+376x^70+218x^71+145x^72+98x^73+30x^74+24x^75+31x^76+12x^77+7x^78+4x^79+1x^80+2x^81+2x^82+2x^83+2x^84+2x^87+1x^88+1x^98

The gray image is a code over GF(2) with n=528, k=13 and d=232.
This code was found by Heurico 1.16 in 1.74 seconds.