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

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

Homogenous weight enumerator: w(x)=1x^0+254x^72+64x^73+256x^74+64x^75+768x^76+64x^77+256x^78+64x^79+254x^80+1x^88+1x^104+1x^112

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 0.288 seconds.