The generator matrix

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

generates a code of length 29 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+98x^26+372x^27+415x^28+390x^29+372x^30+232x^31+91x^32+46x^33+9x^34+16x^35+4x^36+1x^38+1x^40

The gray image is a code over GF(2) with n=232, k=11 and d=104.
This code was found by Heurico 1.16 in 0.031 seconds.