The generator matrix

 1  0  1  1  1 14  1  1  6  1  8  1  2  1  1  1  1  2
 0  1 11 14  5  1  0  3  1  6  1 13  8 15 11 13 11  6
 0  0 12  4  0  4 12  0  8  8 12  4  4  0  4  4  4  0
 0  0  0  8  0  0  0  0  8  0  0  8  8  0  0  8  0  8
 0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  8  0  8  8  8  8  0  0
 0  0  0  0  0  0  8  0  8  0  0  8  8  8  8  0  0  0
 0  0  0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+148x^12+64x^13+352x^14+832x^15+3566x^16+6272x^17+10304x^18+6272x^19+3560x^20+832x^21+352x^22+64x^23+144x^24+4x^28+1x^32

The gray image is a code over GF(2) with n=144, k=15 and d=48.
This code was found by Heurico 1.16 in 1.47 seconds.