The generator matrix

 1  0  0  1  1  1 10  1  1  4  1  1 14  1  8  1  2 14  1
 0  1  0  4  5 11  1  2  7  1  6  3  1  9  4 13  1  2  8
 0  0  1  7  3  4  5  2  1  1  5  6  4  3  1  4  1  1  0
 0  0  0  8  0  0  0  8  8  8  0  0  8  8  0  8  8  8  8
 0  0  0  0  8  8  0  8  0  8  0  0  0  8  8  8  0  8  0

generates a code of length 19 over Z16 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+164x^15+698x^16+1798x^17+2768x^18+5578x^19+2761x^20+1748x^21+656x^22+176x^23+25x^24+6x^25+2x^27+3x^28

The gray image is a code over GF(2) with n=152, k=14 and d=60.
This code was found by Heurico 1.16 in 0.48 seconds.