The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  0  1  1  1  6  1  1  1  1 12 10  1  1  1  1  0
 0  1  3  6  5  1 12 15  1 10  9  1  0  1  3  6  5  1 12 10  9 15  1  1  5  0  0 12  1
 0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  0  8  8  8  0  8  8  0  8  8  0  0  0  8
 0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  0  8  8  0  0  0  0  8  8  0  0  0  8  8
 0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  8  0  8  0  0  8  8  8  0  8  0  0  8
 0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  8  0  8  0  8  8  8  8  0  8  8  8  8  0
 0  0  0  0  0  0  8  8  0  8  0  8  8  8  8  8  8  8  8  8  0  8  8  0  8  8  0  0  0

generates a code of length 29 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+116x^24+80x^25+388x^26+1344x^27+912x^28+2528x^29+888x^30+1344x^31+423x^32+80x^33+68x^34+8x^36+12x^40

The gray image is a code over GF(2) with n=232, k=13 and d=96.
This code was found by Heurico 1.16 in 0.355 seconds.