The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  6  1  1 12  1  1  1  0  1  2  0  1  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  1  6  5  1 12 15 10  1  9  0  2  3  3  3
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  8  0  0  0  0  8  0
 0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  8  8  8  0  0  0  0  0
 0  0  0  0  8  0  0  0  0  8  8  8  0  8  8  8  0  0  8  8  0  0  0  8  0  8  0  8  0
 0  0  0  0  0  8  0  0  8  8  0  8  0  0  8  0  8  8  8  0  8  8  0  8  0  0  0  0  8
 0  0  0  0  0  0  8  0  8  0  0  8  8  0  0  8  8  0  8  8  0  0  0  0  0  0  8  8  8
 0  0  0  0  0  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  8  8  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+36x^22+40x^23+168x^24+240x^25+872x^26+2264x^27+2514x^28+4128x^29+2518x^30+2264x^31+869x^32+240x^33+142x^34+40x^35+22x^36+14x^38+10x^40+2x^42

The gray image is a code over GF(2) with n=232, k=14 and d=88.
This code was found by Heurico 1.16 in 1.1 seconds.