The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  2  1  1  1  2  2  1
 0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  0  8  8  0
 0  0  0  8  0  0  0  0  0  0  0  0  8  8  8  0  0  8  8  0  0  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  8  0  8  8  0  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  8  0  8  0  8  8  8  8  0  8  0
 0  0  0  0  0  0  8  0  0  0  0  8  0  0  8  8  0  8  8  0  0  0
 0  0  0  0  0  0  0  8  0  0  0  8  0  8  8  0  0  8  0  8  0  0
 0  0  0  0  0  0  0  0  8  0  0  8  8  8  0  0  8  0  0  8  0  0
 0  0  0  0  0  0  0  0  0  8  0  8  8  0  0  8  8  8  0  8  8  0
 0  0  0  0  0  0  0  0  0  0  8  8  8  0  8  0  8  0  8  0  0  0

generates a code of length 22 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+96x^12+40x^14+234x^16+136x^18+640x^19+352x^20+12624x^22+1280x^23+264x^24+336x^26+128x^27+64x^28+136x^30+13x^32+40x^34

The gray image is a code over GF(2) with n=176, k=14 and d=48.
This code was found by Heurico 1.16 in 0.613 seconds.