The generator matrix

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

generates a code of length 18 over Z16 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+36x^11+114x^12+308x^13+638x^14+2076x^15+6819x^16+11892x^17+21726x^18+11940x^19+6814x^20+2108x^21+650x^22+276x^23+76x^24+28x^25+26x^26+8x^27

The gray image is a code over GF(2) with n=144, k=16 and d=44.
This code was found by Heurico 1.16 in 6.52 seconds.