The generator matrix

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

generates a code of length 20 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+36x^10+122x^12+252x^14+128x^15+704x^16+640x^17+1736x^18+7424x^19+10628x^20+7424x^21+1816x^22+640x^23+724x^24+128x^25+212x^26+98x^28+44x^30+11x^32

The gray image is a code over GF(2) with n=160, k=15 and d=40.
This code was found by Heurico 1.16 in 1.32 seconds.