The generator matrix

 1  1  1  1  1  1  2  1  1  0  2  1  0  1  1  2  1  1
 0  2  0  6  0  6  6  0 14  2  6  4  2 12 10 14  8  8
 0  0 12  0  0  4  0  4  4  4  8  4  0 12  8  0 12  4
 0  0  0 12 12  4 12 12  0  4  8  0  0  4  8 12  8  0
 0  0  0  0  8  0  0  8  8  0  8  8  0  0  8  8  8  0
 0  0  0  0  0  8  0  8  0  8  0  0  8  8  8  0  0  0
 0  0  0  0  0  0  8  0  0  8  8  8  8  0  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+67x^12+88x^13+276x^14+544x^15+1471x^16+3448x^17+4554x^18+3488x^19+1492x^20+552x^21+274x^22+64x^23+40x^24+8x^25+14x^26+1x^28+2x^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 0.702 seconds.