The generator matrix

 1  1  1  1  1  1  1  1  2  1  2  1  2  2  1  2  4  1  1
 0 12  0  0  0  4 12  4  8  0  4  0  0  8  8 12  0  8  0
 0  0 12  0  4  4 12  0  0  8  4 12 12 12  0  8 12  4  0
 0  0  0 12  4  0 12  4  4  8  0 12  0 12 12  0  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  0  8  8  8  0  8  0
 0  0  0  0  0  8  0  0  8  8  8  0  8  8  0  8  8  0  0
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  0  0  8  8  0
 0  0  0  0  0  0  0  8  8  0  0  8  8  8  8  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+98x^12+78x^13+223x^14+234x^15+765x^16+422x^17+3997x^18+4658x^19+4072x^20+458x^21+814x^22+222x^23+170x^24+66x^25+82x^26+6x^27+14x^28+3x^30+1x^34

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 0.861 seconds.