The generator matrix

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

generates a code of length 32 over Z16 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+160x^20+469x^24+64x^26+1165x^28+960x^30+27058x^32+960x^34+1305x^36+64x^38+423x^40+119x^44+17x^48+3x^52

The gray image is a code over GF(2) with n=256, k=15 and d=80.
This code was found by Heurico 1.16 in 8.27 seconds.