The generator matrix

 1  0  1  1  1 12  1  1  1  1  2  1  4  2  1 10  0
 0  1  1  0 11  1  6  7 10  3  1  6  1 14  2  1  1
 0  0  2  6  0  2  0  2  2  4  6  8  6  6 10 14  0
 0  0  0 12  0  0  4 12  8  4 12  8  4  8  0  0  8
 0  0  0  0 12 12  4  4 12  8  8  8  0 12  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+123x^12+308x^13+1048x^14+2952x^15+7287x^16+9320x^17+7280x^18+3024x^19+1020x^20+260x^21+120x^22+8x^23+16x^24+1x^28

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 1.88 seconds.