The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+35x^22+32x^23+66x^24+56x^25+138x^26+496x^27+282x^28+1912x^29+277x^30+480x^31+129x^32+72x^33+46x^34+16x^35+30x^36+8x^37+15x^38+4x^40+1x^46

The gray image is a code over GF(2) with n=232, k=12 and d=88.
This code was found by Heurico 1.16 in 0.24 seconds.