The generator matrix

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

generates a code of length 19 over Z16 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+50x^13+109x^14+150x^15+202x^16+374x^17+698x^18+4970x^19+744x^20+430x^21+200x^22+122x^23+76x^24+42x^25+14x^26+6x^27+3x^30+1x^32

The gray image is a code over GF(2) with n=152, k=13 and d=52.
This code was found by Heurico 1.16 in 6.78 seconds.