The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+55x^12+126x^13+228x^14+916x^15+1024x^16+4082x^17+3519x^18+4088x^19+1045x^20+898x^21+215x^22+116x^23+51x^24+14x^25+5x^26+1x^30

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 0.672 seconds.