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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+74x^59+198x^60+512x^61+478x^62+1018x^63+1166x^64+2020x^65+1760x^66+2208x^67+1802x^68+1848x^69+1122x^70+912x^71+430x^72+392x^73+118x^74+154x^75+67x^76+56x^77+8x^78+14x^79+11x^80+4x^81+2x^82+4x^83+4x^84+1x^92

The gray image is a code over GF(2) with n=536, k=14 and d=236.
This code was found by Heurico 1.16 in 5.46 seconds.