The generator matrix

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

generates a code of length 29 over Z16 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+52x^23+80x^24+152x^25+67x^26+334x^27+667x^28+1500x^29+544x^30+330x^31+117x^32+128x^33+26x^34+50x^35+28x^36+12x^37+2x^39+2x^40+3x^42+1x^44

The gray image is a code over GF(2) with n=232, k=12 and d=92.
This code was found by Heurico 1.16 in 51.3 seconds.