The generator matrix

 1  1  1  1  1  1  1  1  4  1  2  2  4  1 12  1  1
 0  2  0  0  0  2  6 10  2  8 10 14  8 12  2 10 14
 0  0  2  0  2  2  2  4  2 10  2  8  2  6  8  4  2
 0  0  0  2  2  0  2  2  4 14  6  0 10  8 10  6 10
 0  0  0  0  4  8  8  0 12  8 12  4  0  4  4  4 12

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

Homogenous weight enumerator: w(x)=1x^0+236x^12+472x^13+1464x^14+2912x^15+6655x^16+9072x^17+6954x^18+3008x^19+1344x^20+376x^21+220x^22+32x^23+20x^24+2x^26

The gray image is a code over GF(2) with n=136, k=15 and d=48.
This code was found by Heurico 1.16 in 2.76 seconds.