The generator matrix

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

generates a code of length 78 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+252x^69+1117x^70+2984x^71+6021x^72+9864x^73+15261x^74+20386x^75+27474x^76+29760x^77+34232x^78+31034x^79+28880x^80+20824x^81+15166x^82+9230x^83+5061x^84+2518x^85+1157x^86+500x^87+218x^88+100x^89+37x^90+20x^91+21x^92+10x^93+6x^94+6x^95+4x^96

The gray image is a code over GF(2) with n=624, k=18 and d=276.
This code was found by Heurico 1.16 in 699 seconds.