The generator matrix

 1  0  1  1  1  6  1  1 12  1  1  0  1  1  2  1  1  1
 0  1  3  6  5  1 12  7  1  6  3  1  0  0  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  0  8  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  8  8  0  8  0  0  0
 0  0  0  0  0  0  8  0  0  0  8  8  0  0  8  0  0  0
 0  0  0  0  0  0  0  8  0  0  0  8  8  8  0  0  0  0
 0  0  0  0  0  0  0  0  8  0  8  8  8  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  8  8  0  8  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+85x^8+112x^10+256x^11+544x^12+832x^13+572x^14+1856x^15+4683x^16+13440x^17+20816x^18+13440x^19+4536x^20+1856x^21+776x^22+832x^23+383x^24+256x^25+224x^26+8x^28+28x^30

The gray image is a code over GF(2) with n=144, k=16 and d=32.
This code was found by Heurico 1.16 in 1.33 seconds.