The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+105x^6+80x^7+302x^8+1168x^9+1636x^10+2848x^11+4140x^12+2848x^13+1534x^14+1168x^15+409x^16+80x^17+52x^18+12x^20+1x^22

The gray image is a code over GF(2) with n=48, k=14 and d=12.
This code was found by Heurico 1.16 in 0.283 seconds.