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

generates a code of length 66 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+236x^59+409x^60+656x^61+944x^62+1224x^63+1728x^64+2204x^65+2106x^66+1878x^67+1790x^68+1052x^69+767x^70+574x^71+297x^72+240x^73+108x^74+102x^75+31x^76+22x^77+10x^78+2x^79+2x^85+1x^94

The gray image is a code over GF(2) with n=528, k=14 and d=236.
This code was found by Heurico 1.16 in 8.97 seconds.