The generator matrix

 1  1  1  1  1  1  2  0  1  2  1  0  2  4  1  1  1  1
 0  2  0 14  4  6  6  2 12 14  2  2  8  8  6  6  6  0
 0  0 12  4  4  0  0 12  0 12  4  8  4  4  0  0  0  0
 0  0  0  8  0  0  0  0  0  0  8  0  8  8  0  0  8  0
 0  0  0  0  8  0  0  0  0  8  8  0  8  0  0  8  8  0
 0  0  0  0  0  8  0  0  0  8  8  8  0  0  0  8  0  0
 0  0  0  0  0  0  8  0  0  0  0  8  8  8  0  8  0  8
 0  0  0  0  0  0  0  8  0  8  0  0  8  8  8  8  0  8
 0  0  0  0  0  0  0  0  8  0  8  8  0  8  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+25x^10+32x^11+105x^12+160x^13+569x^14+1376x^15+4237x^16+3552x^17+12638x^18+3552x^19+4270x^20+1376x^21+566x^22+160x^23+82x^24+32x^25+25x^26+9x^28+1x^30

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 1.31 seconds.