The generator matrix

 1  1  1  1  1  1  2  0  1  1  1  1  2  8  2  1  4  1
 0  2  0  6  0 14 14  2 12  0  8  6  6  2  4  2  8  6
 0  0 12  0  0  0  4 12 12  8  8  0  4  4  0 12  4  0
 0  0  0 12  0  0  4  8  4 12  4  4  4  0  0  8  0  4
 0  0  0  0 12  4  4  4  8  4  0 12  8  0 12  0  8  4
 0  0  0  0  0  8  0  0  0  0  0  8  8  8  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+89x^12+20x^13+440x^14+576x^15+1851x^16+2972x^17+4424x^18+3040x^19+1932x^20+524x^21+376x^22+32x^23+92x^24+4x^25+8x^26+3x^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 0.763 seconds.