The generator matrix

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

generates a code of length 12 over Z8 who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+84x^7+297x^8+778x^9+1854x^10+3222x^11+3869x^12+3252x^13+1908x^14+784x^15+246x^16+66x^17+14x^18+6x^19+3x^20

The gray image is a code over GF(2) with n=48, k=14 and d=14.
This code was found by Heurico 1.16 in 0.446 seconds.