The generator matrix

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

generates a code of length 19 over Z9 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+276x^28+480x^29+836x^30+1254x^31+1548x^32+2116x^33+3534x^34+3258x^35+5164x^36+6594x^37+6240x^38+6948x^39+6648x^40+4338x^41+3912x^42+3180x^43+1440x^44+690x^45+384x^46+192x^47+8x^48+2x^51+4x^54+2x^57

The gray image is a code over GF(3) with n=57, k=10 and d=28.
This code was found by Heurico 1.16 in 14.6 seconds.