The generator matrix

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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+168x^74+64x^75+556x^76+64x^77+168x^78+1x^88+1x^96+1x^120

The gray image is a code over GF(2) with n=608, k=10 and d=296.
This code was found by Heurico 1.16 in 0.281 seconds.