The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  0  1  2  1  2 12  0  1  1  1  2  1 12  1  1  2  2  1
 0  2 12  6  0  6 12 10  0  6  6  2 12 10 10  6  2  2  0 12  6 10 10  2  6 10  6  6  0
 0  0  8  0  0  0  0  0  0  0  8  8  8  8  0  8  0  0  0  0  8  8  0  8  8  0  0  8  0
 0  0  0  8  0  0  0  0  0  8  8  0  8  8  0  0  8  8  0  8  8  0  0  0  8  8  8  0  0
 0  0  0  0  8  0  0  0  8  0  0  8  0  0  8  8  8  0  0  8  8  8  8  0  8  8  8  8  8
 0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  8  0  8  0  0  8  8  0  0  8  0  8  0  8
 0  0  0  0  0  0  8  0  8  0  0  0  8  8  0  8  0  8  0  8  0  8  0  0  8  8  0  8  8
 0  0  0  0  0  0  0  8  0  0  8  8  0  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  0

generates a code of length 29 over Z16 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+30x^22+36x^23+107x^24+248x^25+318x^26+1500x^27+578x^28+2576x^29+573x^30+1500x^31+313x^32+248x^33+88x^34+36x^35+20x^36+12x^38+3x^40+2x^42+2x^44+1x^46

The gray image is a code over GF(2) with n=232, k=13 and d=88.
This code was found by Heurico 1.16 in 1.04 seconds.