The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  2  1  1  2  1  2 12  1  0  1 12  1  1  1  1  4 12  1  4  8  1  2  1  2  1  2  8  2  1  1  2  0  1  1  1  1 12  0  1  2  1 12  4  2  1  1 12  8  1  1  1
 0  2  0  2  0  8  6 14  0  0  2  6 10  8  0  6  4  4 14 10 10 14 12  4 14  8  0 14  4  2 12  0 10 14 14 12  8  2  6  2  4 12  2  8 12 14  2  4  4  2  2 14 14 14  4 10  2  2 14  0  8 10  4 10  0  6 14  0  0  6 14  8  2  2 12 12  8  4  2 14  6  0
 0  0  2  2  0  6 14  8  0  2 10  0  0  8  6  6 14 12 10  8 12  2  0 10  6 14 12  8 14  0  2 14  6 12 14 12 14 12  4  6  6  2  6  6  0  2 10  2  0 14  8 10 12 14  2  2 12 12 10 10  8 12  2 10  0  4  8  2  2  4  2  6  6  8 10 12  0  2  4  2 14 12
 0  0  0  4  0  0 12  0 12 12  8 12 12 12 12  0  4 12  8  4 12  4  8  8  4  8  4  0  4  8  0  8  0  0  4  8  8  8  4  0  4  4  0  4  0  0  4  4  8  4 12  4  8  8  4 12  0 12  8 12  4  8  8  0  4  4 12 12 12 12  0 12  4  8  8  0  0  4  0 12  8 12
 0  0  0  0 12  4  4  4 12  8  8  4  8  8  4  4  0  4  0 12  0 12  0  4  0  0 12  8  4 12  8  4  4  4  0  4  8 12  4  8  8  0  0  4  0  0  4  4 12  4 12  8  0  0  8  0 12  8  4  4  8  8 12  0  0 12  0  4 12  8  8  0 12 12  0  0  4 12 12 12 12 12

generates a code of length 82 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+136x^74+272x^75+567x^76+648x^77+1290x^78+1164x^79+1511x^80+1748x^81+1896x^82+1928x^83+1647x^84+1068x^85+880x^86+512x^87+392x^88+220x^89+238x^90+88x^91+91x^92+28x^93+30x^94+4x^95+11x^96+6x^98+3x^100+4x^102+1x^112

The gray image is a code over GF(2) with n=656, k=14 and d=296.
This code was found by Heurico 1.16 in 7.34 seconds.