The generator matrix

 1  0  1  1  1  4  1  1  1
 0  1  1  0  3  1  7  3  0
 0  0  2  0  0  4  2  2  0
 0  0  0  2  0  6  4  2  4
 0  0  0  0  4  0  4  0  4

generates a code of length 9 over Z8 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+22x^5+78x^6+186x^7+430x^8+604x^9+444x^10+196x^11+64x^12+14x^13+6x^14+2x^15+1x^16

The gray image is a code over GF(2) with n=36, k=11 and d=10.
This code was found by Heurico 1.16 in 0.00421 seconds.