The generator matrix

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

generates a code of length 12 over Z8 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+38x^6+46x^7+259x^8+312x^9+1009x^10+1686x^11+1497x^12+1696x^13+973x^14+314x^15+288x^16+40x^17+27x^18+2x^19+3x^20+1x^22

The gray image is a code over GF(2) with n=48, k=13 and d=12.
This code was found by Heurico 1.16 in 0.0633 seconds.