The generator matrix

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

generates a code of length 10 over Z8 who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+50x^7+129x^8+178x^9+324x^10+170x^11+110x^12+46x^13+12x^14+4x^15

The gray image is a code over GF(2) with n=40, k=10 and d=14.
This code was found by Heurico 1.11 in 0.00151 seconds.