The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+236x^27+228x^28+240x^29+110x^30+96x^31+43x^32+64x^33+4x^35+2x^38

The gray image is a code over GF(2) with n=232, k=10 and d=108.
This code was found by Heurico 1.16 in 17.2 seconds.