The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+41x^8+78x^9+143x^10+236x^11+365x^12+842x^13+1467x^14+10008x^15+1516x^16+802x^17+413x^18+236x^19+119x^20+70x^21+25x^22+16x^23+6x^24

The gray image is a code over GF(2) with n=120, k=14 and d=32.
This code was found by Heurico 1.16 in 0.333 seconds.