The generator matrix

 1  0  1  1  1 14  1  1  6  1  1  8  1 12  8  1  1  1
 0  1 11 14  5  1  0  3  1  6 13  1 12  1  2 11 13  0
 0  0 12  4  0  4 12  0  8  0  4  4  0  8  4  4  4  0
 0  0  0  8  0  0  0  8  8  0  0  8  0  8  0  8  0  8
 0  0  0  0  8  0  0  8  0  8  8  8  0  0  0  8  8  8
 0  0  0  0  0  8  0  0  0  8  8  8  0  8  8  0  0  0
 0  0  0  0  0  0  8  8  8  0  8  8  8  0  0  0  0  0

generates a code of length 18 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+16x^12+56x^13+132x^14+544x^15+1779x^16+2968x^17+5376x^18+3008x^19+1766x^20+552x^21+116x^22+32x^23+20x^24+8x^25+8x^26+2x^28

The gray image is a code over GF(2) with n=144, k=14 and d=48.
This code was found by Heurico 1.16 in 0.415 seconds.