The generator matrix

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

generates a code of length 15 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+30x^8+28x^9+87x^10+120x^11+326x^12+356x^13+586x^14+5136x^15+571x^16+356x^17+328x^18+120x^19+90x^20+28x^21+22x^22+6x^24+1x^26

The gray image is a code over GF(2) with n=120, k=13 and d=32.
This code was found by Heurico 1.16 in 0.0586 seconds.