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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+316x^72+64x^73+168x^74+256x^75+208x^76+8x^78+1x^80+1x^96+1x^112

The gray image is a code over GF(2) with n=592, k=10 and d=288.
This code was found by Heurico 1.16 in 0.266 seconds.