The generator matrix

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

generates a code of length 18 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+49x^10+64x^11+190x^12+256x^13+741x^14+1032x^15+1870x^16+6832x^17+10698x^18+6840x^19+1836x^20+1056x^21+762x^22+248x^23+192x^24+48x^25+37x^26+8x^27+6x^28+1x^30+1x^32

The gray image is a code over GF(2) with n=144, k=15 and d=40.
This code was found by Heurico 1.16 in 1.72 seconds.