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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+562x^72+594x^74+389x^76+328x^78+147x^80+22x^82+2x^84+1x^88+1x^92+1x^120

The gray image is a code over GF(2) with n=600, k=11 and d=288.
This code was found by Heurico 1.16 in 50.2 seconds.