The generator matrix

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

generates a code of length 19 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+50x^12+64x^13+145x^14+352x^15+639x^16+1572x^17+3279x^18+4180x^19+3237x^20+1640x^21+641x^22+328x^23+155x^24+52x^25+29x^26+4x^27+13x^28+2x^30+1x^32

The gray image is a code over GF(2) with n=152, k=14 and d=48.
This code was found by Heurico 1.16 in 0.703 seconds.