The generator matrix

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

generates a code of length 14 over Z8 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+82x^11+128x^12+250x^13+136x^14+228x^15+107x^16+68x^17+8x^18+10x^19+4x^20+2x^21

The gray image is a code over GF(2) with n=56, k=10 and d=22.
This code was found by Heurico 1.11 in 0.00319 seconds.