The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+37x^6+32x^7+174x^8+480x^9+856x^10+1536x^11+1956x^12+1536x^13+866x^14+480x^15+169x^16+32x^17+32x^18+4x^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 0.0758 seconds.