The generator matrix

 1  1  1  1  1  1  1  1  2  1  2  2  1  2  1  1  1  1  1
 0 12  0  0  0  4 12  4  0  8  0 12 12  4 12  0  4  8  0
 0  0 12  0  4  4 12  0  4  0  8 12  0  4 12  0  8 12  0
 0  0  0 12  4  0 12  4  4  4  4  4  8  0  0  0  8 12  0
 0  0  0  0  8  0  0  8  8  0  8  0  0  8  8  0  0  8  0
 0  0  0  0  0  8  0  8  0  0  8  0  8  8  0  8  0  0  0
 0  0  0  0  0  0  8  0  8  8  8  0  8  0  0  8  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+30x^12+90x^13+88x^14+44x^15+245x^16+486x^17+655x^18+4920x^19+668x^20+422x^21+254x^22+140x^23+74x^24+26x^25+24x^26+16x^27+6x^28+2x^30+1x^34

The gray image is a code over GF(2) with n=152, k=13 and d=48.
This code was found by Heurico 1.16 in 0.208 seconds.