The generator matrix

 1  1  1  1  1  1  1  1  2  1  2  1  1  1  1  2  2  1
 0 12  0  0  0  0  0  4 12 12  8  4  0  8  0  4  4  0
 0  0 12  0  0  0  4  0  4 12  8 12  4  4  4  4  4  0
 0  0  0 12  0  4  4  4  0  8  8 12 12  8 12  8  8  0
 0  0  0  0 12  4  0  8  4 12  4  4  4 12  0  8  0  0
 0  0  0  0  0  8  0  0  8  8  8  0  0  0  8  8  0  0
 0  0  0  0  0  0  8  8  8  0  8  0  8  8  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+30x^11+103x^12+168x^13+239x^14+592x^15+637x^16+1244x^17+10286x^18+1280x^19+718x^20+608x^21+216x^22+136x^23+74x^24+28x^25+10x^26+10x^27+3x^28+1x^30

The gray image is a code over GF(2) with n=144, k=14 and d=44.
This code was found by Heurico 1.16 in 0.799 seconds.