The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+52x^75+391x^76+594x^77+1397x^78+1298x^79+1912x^80+1654x^81+2281x^82+1524x^83+1936x^84+1140x^85+1012x^86+432x^87+340x^88+142x^89+110x^90+42x^91+72x^92+22x^93+14x^94+10x^95+3x^96+2x^99+1x^102+1x^106+1x^108

The gray image is a code over GF(2) with n=656, k=14 and d=300.
This code was found by Heurico 1.16 in 4.96 seconds.