The generator matrix

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

generates a code of length 17 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+68x^10+212x^11+323x^12+466x^13+910x^14+1882x^15+6847x^16+11250x^17+6950x^18+1874x^19+948x^20+550x^21+250x^22+126x^23+72x^24+22x^25+14x^26+2x^27+1x^28

The gray image is a code over GF(2) with n=136, k=15 and d=40.
This code was found by Heurico 1.16 in 2.37 seconds.