The generator matrix

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

generates a code of length 29 over Z16 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+116x^20+248x^24+160x^26+541x^28+6144x^29+320x^30+440x^32+32x^34+150x^36+30x^40+9x^44+1x^48

The gray image is a code over GF(2) with n=232, k=13 and d=80.
This code was found by Heurico 1.16 in 0.575 seconds.