The generator matrix

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

generates a code of length 14 over Z8 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+37x^6+38x^7+227x^8+564x^9+1949x^10+3324x^11+7192x^12+14516x^13+9850x^14+14488x^15+7207x^16+3324x^17+1954x^18+580x^19+216x^20+28x^21+33x^22+2x^23+5x^24+1x^26

The gray image is a code over GF(2) with n=56, k=16 and d=12.
This code was found by Heurico 1.16 in 2.71 seconds.