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

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

Homogenous weight enumerator: w(x)=1x^0+186x^72+64x^73+400x^74+192x^75+519x^76+192x^77+220x^78+64x^79+113x^80+72x^82+8x^84+12x^86+4x^88+1x^140

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 0.593 seconds.