The generator matrix

 1  0  1  1  1 14  1  1  8  1  1  6  1  1  1  1 12  1  0  1  1  6  1  2  1  8  1  1  1  4  1  1  2  1  8  1 10  1  1  0  1  1  1  1 10  0  1  1  1  4  1  1  1  1  0  1 10  1  1  8  1 10  1 12 14 12 10  1  1  2  1 10  1  1  1
 0  1  1  0  7  1  2 11  1 14  5  1 14  3  1  0  1 10  1  8  1  1 15  1  0  1  1  6 13  1  6 11  1  9  1  2  1  3 12  1  4  4  8 11  1  1  3  1  4  1  7  0 10 15 12 11  1 13  2  2  1  1  3 12  1  2  1  2 14 14  8  1 13  9  0
 0  0  2  0  2  4  0  2  2  8  2 14  2  4  0  6  6 10 12 14 12  8  4 14 14  6  4 14  6  8  0  8  0  2  4 12  2 14  0 14 10  2  8 14  2  6 10  4 12  0  0  2 14  8  2  4  6  2  4  2  4  2  4  2  0  6  0 12  4 10  0 14  8  0  0
 0  0  0  2  0  0 10  6  6 12  2  6 14 12 12  6  8  4  2 12 10 14 10 12  2 10  0  8  0  2  8 10  8 10 12  6  4  6 14 12  4  2  0 12  8 14 10 14 10 12 12 12  6 10  0 14  6 14  4 10 12  6  8 14  4  8 14 10  2  6 12  0  2  6  0
 0  0  0  0  8  8  8  8  8  8  0  0  8  8  0  0  8  8  0  0  0  8  8  0  0  0  0  8  0  8  0  0  8  8  0  8  8  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  0  8  8  8  8  0  0  8  8  0  8  8  0  0  8  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+395x^68+692x^69+1235x^70+1896x^71+2655x^72+3782x^73+3859x^74+4356x^75+3721x^76+3410x^77+2331x^78+1824x^79+1107x^80+580x^81+373x^82+202x^83+130x^84+46x^85+34x^86+20x^87+20x^88+2x^89+8x^90+2x^91+2x^92+1x^96

The gray image is a code over GF(2) with n=600, k=15 and d=268.
This code was found by Heurico 1.16 in 15.2 seconds.