The generator matrix

 1  0  0  1  1  1  2  1  1  1  4  1  2 14 10  1  1  2 12  1  1  1  1  1 12  1 12 14 10 12  1 14  1  1  1 14  1  4 10  1  1  1  1  4  4  1  1  1  1  1 12  1  1  1  1 14  6  4  1  1  1  1 14  4  8  1  1  1  1  1  1 14  1  2  1
 0  1  0  2  1  3  1  8  1  2  1 15  1  0  1  7  0  1 10  3  2  5 10  4  1  5  1  1 14 12 11  8 10 13  0  1  3  1  1  6  4 10  5  8  1  6  9 12 12 12  1 15  7  2  0  1  0  6  1 12  2 10  4  4  1  4  9  7 13  7 10  1 13  2  8
 0  0  1  1  3  0  5  7 14  6  9  5  0  1 15  7  5  6  1  6  8 12 11 10  7  5 14  5  1  1  8  1  8 10 11  8  5 14 11 10  3  1  7  1  7  3  6  4 13 11  4 14 11  0  6  5  1  1  0 10  6  4  1  1 10  1 13  4  4 12  6  6  6  1  3
 0  0  0  4  0  0 12  8 12  4  8  4  4  4 12  0 12  0  4  4  0  8  8  4  4  4  4  8  8  0 12  4  8  4 12 12  0  0  0 12 12  8 12  8  4  8  8  8  0 12  0  0 12  4  8  0  8  0  8  0  8  4  8  4  4 12  8  8  4  8  0  4  4  4  4
 0  0  0  0  4  8  8  8  0  8  0 12  8  0  8  0 12  4 12  4  4  4 12  4 12  0  4  4  0  4  4 12  8  8 12  0  0  4  0 12  0  0  4  4  0  8  0  4 12  4  8  4  0  4 12 12 12  8  0  8 12 12  8  0  8  0  8  8  8  4  0 12  4 12  0

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

Homogenous weight enumerator: w(x)=1x^0+84x^67+586x^68+1278x^69+2688x^70+3786x^71+5439x^72+6730x^73+8146x^74+8732x^75+7816x^76+6822x^77+5582x^78+3346x^79+2134x^80+1118x^81+656x^82+254x^83+171x^84+74x^85+46x^86+20x^87+10x^88+6x^89+2x^90+2x^91+3x^92+2x^93+2x^97

The gray image is a code over GF(2) with n=600, k=16 and d=268.
This code was found by Heurico 1.16 in 47.6 seconds.