The generator matrix

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

generates a code of length 11 over Z8 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+101x^6+80x^7+489x^8+768x^9+1953x^10+1376x^11+1995x^12+768x^13+495x^14+80x^15+74x^16+11x^18+1x^20

The gray image is a code over GF(2) with n=44, k=13 and d=12.
This code was found by Heurico 1.16 in 0.13 seconds.