The generator matrix

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

generates a code of length 18 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+77x^8+32x^10+296x^12+144x^13+220x^14+416x^15+331x^16+4720x^17+4272x^18+4160x^19+184x^20+752x^21+424x^22+32x^23+135x^24+16x^25+144x^26+28x^30

The gray image is a code over GF(2) with n=144, k=14 and d=32.
This code was found by Heurico 1.16 in 0.225 seconds.