The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+126x^12+200x^13+754x^14+1324x^15+3907x^16+3584x^17+4174x^18+1384x^19+618x^20+152x^21+126x^22+12x^23+20x^24+2x^26

The gray image is a code over GF(2) with n=136, k=14 and d=48.
This code was found by Heurico 1.16 in 0.729 seconds.