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  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  1  8  1  1  1  1  1  1  1  1  1  1  1  8  2  1  4
 0  2  0  6  8  6  8  2  8 14  8 14  8  2  0 10  0 14  8  6  8 10  0  2  0  6  0  2  0  6  0  2  4  6 12  2  4 14  4  6 12 10  4  6  4 10  4  2  2  4 10 12  4 12  2  6  4  6 12  4  8 12  6 14 10  0 14  8  4  0  0 12  2  6 10  0
 0  0 12  0  0  4 12  4  8  8  4 12  8 12  4  8  0  8 12 12 12  0  8 12  8  4  0  4  4  0  4  8  4  0  4  8  0  4 12  8  4  0  8 12  8  4  8  0 12  0 12  8  0 12  4  8 12 12  4 12  0  0  0  4  8  8  4  0 12 12  4  8  0  8 12  4
 0  0  0 12  4 12  4  0  0 12  0 12  4  0  4  0  8  4  8  4 12  8 12  8  8  4 12  8 12  4  8  8  0  0  4 12  4  8  8  0 12 12  0  0  4  4  8  4 12  8  4 12  0  0 12  8  4  8  8 12  0 12  8  0  4  0 12 12  0 12  0  4 12  8  0 12

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

Homogenous weight enumerator: w(x)=1x^0+150x^72+104x^73+324x^74+320x^75+424x^76+248x^77+216x^78+56x^79+88x^80+32x^81+68x^82+8x^83+8x^84+1x^144

The gray image is a code over GF(2) with n=608, k=11 and d=288.
This code was found by Heurico 1.16 in 0.46 seconds.