The generator matrix

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

generates a code of length 29 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+68x^16+68x^18+32x^19+112x^20+152x^21+174x^22+256x^23+557x^24+480x^25+1329x^26+736x^27+7938x^28+8976x^29+7944x^30+736x^31+1224x^32+480x^33+627x^34+256x^35+252x^36+152x^37+70x^38+32x^39+67x^40+23x^42+18x^44+4x^46+3x^48+1x^50

The gray image is a code over GF(2) with n=232, k=15 and d=64.
This code was found by Heurico 1.16 in 4.58 seconds.