The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+22x^27+63x^28+92x^29+53x^30+12x^31+8x^32+3x^34+2x^39

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 0.00829 seconds.