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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+142x^67+269x^68+426x^69+571x^70+1034x^71+1099x^72+1750x^73+1761x^74+2564x^75+1728x^76+1790x^77+891x^78+950x^79+501x^80+350x^81+200x^82+158x^83+87x^84+32x^85+25x^86+14x^87+23x^88+4x^89+7x^90+4x^92+2x^95+1x^110

The gray image is a code over GF(2) with n=600, k=14 and d=268.
This code was found by Heurico 1.16 in 10.1 seconds.