The generator matrix

 1  0  1  1  1 14  1  1  0  1  1 14  6  8  2  1  1
 0  1 11  6  1  1  0  3  1  6 14  1  1  2  1  5  8
 0  0 12  0  0  0  0  0  0 12  8  4  4  8 12 12  8
 0  0  0 12  0  0 12  8 12  4  8  0  4 12 12  0 12
 0  0  0  0  4  4 12  8  4  8  4  8  8  0  4  4  0
 0  0  0  0  0  8  8  8  8  0  8  8  8  8  8  0  8

generates a code of length 17 over Z16 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+42x^11+117x^12+280x^13+922x^14+3056x^15+7140x^16+9614x^17+7184x^18+3082x^19+915x^20+276x^21+82x^22+28x^23+19x^24+6x^25+4x^26

The gray image is a code over GF(2) with n=136, k=15 and d=44.
This code was found by Heurico 1.16 in 1.58 seconds.