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

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

Homogenous weight enumerator: w(x)=1x^0+96x^67+223x^68+478x^69+655x^70+942x^71+1368x^72+1594x^73+1960x^74+2140x^75+1936x^76+1594x^77+1186x^78+762x^79+492x^80+320x^81+250x^82+160x^83+62x^84+76x^85+43x^86+20x^87+11x^88+2x^89+2x^90+8x^91+2x^92+1x^108

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 6.42 seconds.