The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+61x^22+84x^23+121x^24+256x^25+247x^26+432x^27+1612x^28+2576x^29+1656x^30+424x^31+203x^32+224x^33+136x^34+80x^35+42x^36+16x^37+11x^38+4x^39+3x^40+1x^42+2x^44

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 0.6 seconds.