The generator matrix

 1  0  0  1  1  1  2  1  0  1  8  2  1  1  1  4  0  1  1  1  1  1  1  1 14  4 14  1  1
 0  1  0  1 14  7  1 13  1  2  1  4 14  7  8  1  1 13  0  3 15 15 12  4 10  1  1  9  0
 0  0  1  1  5  0  7  1  2  1  3  1  4  4 14  1  6  0 12 13 10  5  2  3  1  3  9  7  0
 0  0  0  2 10  2  6  8 10  8  4 14  6  0 12 14  6 12 14  0  2 14  0  0 14  2  4 12  8
 0  0  0  0  8  8  8  0  0  8  8  0  0  8  0  0  8  0  8  0  0  8  8  0  8  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+90x^23+593x^24+1438x^25+3968x^26+7304x^27+11947x^28+14586x^29+12362x^30+7388x^31+3834x^32+1306x^33+532x^34+128x^35+37x^36+14x^37+2x^38+2x^39+4x^40

The gray image is a code over GF(2) with n=232, k=16 and d=92.
This code was found by Heurico 1.16 in 13.2 seconds.