The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  1  1  2  2  2  2  2  2  2  2  2  1
 0 12  0 12  0 12  0 12  8  4  8  4 12 12  0 12  8  8  8  4  0  0  8 12  4  4  4  0 12
 0  0  8  0  0  8  8  8  8  8  8  8  8  8  8  0  8  0  0  0  0  8  8  0  8  8  0  0  0
 0  0  0  8  8  8  8  0  0  0  8  8  8  0  8  0  0  8  0  8  8  0  8  8  0  8  0  0  0

generates a code of length 29 over Z16 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+14x^27+12x^28+208x^29+12x^30+3x^32+4x^34+2x^43

The gray image is a code over GF(2) with n=232, k=8 and d=108.
This code was found by Heurico 1.16 in 1.83 seconds.