The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+126x^67+525x^68+1420x^69+2679x^70+3442x^71+5847x^72+6392x^73+8311x^74+8142x^75+8923x^76+6416x^77+5371x^78+3242x^79+2374x^80+1146x^81+606x^82+320x^83+106x^84+40x^85+45x^86+22x^87+14x^88+10x^89+11x^90+2x^92+1x^94+2x^95

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 47.8 seconds.