The generator matrix

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

generates a code of length 15 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+87x^10+128x^11+342x^12+768x^13+1626x^14+2304x^15+1615x^16+768x^17+328x^18+128x^19+90x^20+6x^22+1x^26

The gray image is a code over GF(2) with n=120, k=13 and d=40.
This code was found by Heurico 1.16 in 34.6 seconds.