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

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

Homogenous weight enumerator: w(x)=1x^0+64x^58+234x^59+396x^60+694x^61+1064x^62+1160x^63+1738x^64+1850x^65+2179x^66+1726x^67+1887x^68+1178x^69+923x^70+498x^71+299x^72+232x^73+102x^74+90x^75+25x^76+8x^77+16x^78+2x^79+2x^80+2x^81+3x^82+2x^83+4x^84+4x^85+1x^86

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 5.51 seconds.