The generator matrix

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

generates a code of length 19 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+30x^14+50x^15+70x^16+90x^17+161x^18+1260x^19+161x^20+92x^21+53x^22+34x^23+21x^24+10x^25+11x^26+3x^28+1x^30

The gray image is a code over GF(2) with n=152, k=11 and d=56.
This code was found by Heurico 1.16 in 0.023 seconds.