The generator matrix

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

generates a code of length 11 over Z8 who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+24x^7+60x^8+96x^9+202x^10+272x^11+188x^12+96x^13+52x^14+24x^15+7x^16+2x^18

The gray image is a code over GF(2) with n=44, k=10 and d=14.
This code was found by Heurico 1.16 in 0.00376 seconds.