The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+92x^73+181x^74+368x^75+685x^76+1014x^77+1834x^78+2716x^79+3366x^80+3996x^81+4360x^82+4220x^83+3298x^84+2580x^85+1824x^86+904x^87+597x^88+340x^89+159x^90+74x^91+40x^92+26x^93+20x^94+26x^95+10x^96+12x^97+4x^98+10x^99+4x^101+2x^102+2x^103+1x^104+1x^108+1x^112

The gray image is a code over GF(2) with n=656, k=15 and d=292.
This code was found by Heurico 1.16 in 19.7 seconds.