The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+150x^75+769x^76+1394x^77+2418x^78+2736x^79+3606x^80+3868x^81+3867x^82+3414x^83+3534x^84+2476x^85+2007x^86+1102x^87+688x^88+356x^89+192x^90+66x^91+37x^92+34x^93+22x^94+16x^95+1x^96+5x^98+2x^99+4x^100+1x^102+2x^103

The gray image is a code over GF(2) with n=656, k=15 and d=300.
This code was found by Heurico 1.16 in 14 seconds.