The generator matrix

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

generates a code of length 33 over Z16 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+89x^20+432x^24+1068x^28+3401x^32+24576x^33+2462x^36+472x^40+220x^44+46x^48+1x^52

The gray image is a code over GF(2) with n=264, k=15 and d=80.
This code was found by Heurico 1.16 in 8.12 seconds.