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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+1x^76+22x^77+2x^78+6x^79

The gray image is a code over GF(2) with n=600, k=5 and d=304.
This code was found by Heurico 1.16 in 0.207 seconds.