The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+94x^67+314x^68+600x^69+1178x^70+1878x^71+2789x^72+3706x^73+4000x^74+3976x^75+4008x^76+3704x^77+2613x^78+1720x^79+1066x^80+468x^81+286x^82+160x^83+83x^84+40x^85+17x^86+22x^87+24x^88+10x^89+6x^91+2x^94+2x^96+1x^100

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 16 seconds.