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  2  1  1  2  1  1  2  1  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  1  1  1  1  1  1  1  2  2  4  0  2  2  2  1
 0 12  0  4  0  0  4 12  0  0  4 12  0  0  4 12  0  4  0 12  0  4  0 12  8  0  0  8  4 12  8  0  8  4  0 12  8 12  8  4  8 12  8  4  8 12  8  4  8 12  8  4  8 12  8  4  8 12  8  4  8 12  8  4  8  8 12  4  4 12  8  0 12  4  0  0
 0  0 12  4  0 12  4  0  0 12  4  0  0 12  4  0  8 12  4  8  8 12  4  8  4  8  4  4 12  8  4  8 12 12  4  8  8 12  4  8  8  4  4  0  8 12  4  8  8  4  4  0  0 12 12  8  0  4 12  0  0 12 12  8  0 12  4  0  4  0  4  4 12  0 12  0
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  8  8  8  0  8  8  0  8  0  0  0  0  8  0  0  0  0  8  8  0  0  0
 0  0  0  0  8  8  8  8  8  8  0  8  0  0  8  0  0  0  0  0  8  8  8  8  0  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  8  0  0  8  0  8  8  8  0  8  8  0  0  8  0  0  0  8  8  0  0  0  0

generates a code of length 76 over Z16 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+8x^72+72x^73+88x^74+316x^75+62x^76+312x^77+84x^78+64x^79+7x^80+3x^82+4x^83+2x^84+1x^130

The gray image is a code over GF(2) with n=608, k=10 and d=288.
This code was found by Heurico 1.16 in 0.39 seconds.