The generator matrix

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

generates a code of length 17 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+199x^12+32x^13+456x^14+640x^15+1897x^16+1728x^17+1904x^18+640x^19+502x^20+32x^21+136x^22+22x^24+3x^28

The gray image is a code over GF(2) with n=136, k=13 and d=48.
This code was found by Heurico 1.16 in 48.7 seconds.