The generator matrix

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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+252x^70+52x^71+270x^72+56x^73+770x^74+128x^75+228x^76+8x^77+256x^78+12x^79+12x^80+1x^82+1x^96+1x^114

The gray image is a code over GF(2) with n=592, k=11 and d=280.
This code was found by Heurico 1.16 in 0.361 seconds.