The generator matrix

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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+166x^69+181x^70+654x^71+782x^72+966x^73+864x^74+1134x^75+884x^76+962x^77+626x^78+506x^79+213x^80+154x^81+12x^82+30x^83+4x^84+16x^85+9x^86+8x^87+2x^88+8x^89+4x^90+4x^91+2x^104

The gray image is a code over GF(2) with n=600, k=13 and d=276.
This code was found by Heurico 1.16 in 1.35 seconds.