The generator matrix

 1  0  0  0  0  1  1  1  1  0  1  3  1  1  1  3
 0  1  0  0  0  0  6  7  1  1  4  1  8  0  5  1
 0  0  1  0  0  0  7  7  8  3  8  7  3  8  1  5
 0  0  0  1  0  1  5  7  2  7  6  7  8  1  5  3
 0  0  0  0  1  8  5  6  4  4  4  6  1  7  3  1
 0  0  0  0  0  6  3  6  3  6  6  3  0  0  0  6

generates a code of length 16 over Z9 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+252x^21+588x^22+648x^23+1644x^24+2928x^25+3402x^26+6424x^27+10056x^28+11232x^29+16326x^30+21822x^31+20088x^32+20910x^33+21750x^34+14256x^35+11594x^36+7602x^37+2862x^38+1854x^39+864x^40+36x^42+8x^45

The gray image is a code over GF(3) with n=48, k=11 and d=21.
This code was found by Heurico 1.13 in 18.3 seconds.