The generator matrix

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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+208x^67+1269x^68+3034x^69+5546x^70+9066x^71+14475x^72+20906x^73+27818x^74+31772x^75+33608x^76+31884x^77+28198x^78+21248x^79+14854x^80+8884x^81+5007x^82+2454x^83+1081x^84+458x^85+178x^86+98x^87+52x^88+26x^89+5x^90+2x^91+4x^92+8x^93

The gray image is a code over GF(2) with n=608, k=18 and d=268.
This code was found by Heurico 1.16 in 704 seconds.