The generator matrix

 1  1  1  1  1  1  2  4  1  1  2  2  1  1  1  1  1  1
 0 12  0 12  0 12 12  4  0 12 12 12  0  0  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  8  8  8  0  0  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  0  8  8  0  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  8  8  8  8  8  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  8  0  8  8  0  0  0
 0  0  0  0  0  0  0  0  0  8  0  8  8  0  0  8  0  0
 0  0  0  0  0  0  0  0  0  0  8  8  8  8  0  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+113x^8+56x^10+483x^12+544x^14+512x^15+1963x^16+7680x^17+10064x^18+7680x^19+1963x^20+512x^21+544x^22+483x^24+56x^26+113x^28+1x^36

The gray image is a code over GF(2) with n=144, k=15 and d=32.
This code was found by Heurico 1.16 in 0.821 seconds.