The generator matrix

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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+110x^71+307x^72+414x^73+621x^74+464x^75+381x^76+444x^77+569x^78+364x^79+236x^80+100x^81+48x^82+16x^83+2x^84+6x^86+2x^87+2x^89+3x^90+4x^91+1x^100+1x^110

The gray image is a code over GF(2) with n=608, k=12 and d=284.
This code was found by Heurico 1.16 in 0.519 seconds.