The generator matrix
1 0 0 1 1 1 2 1 1 2 0 1
0 1 0 1 2 3 1 0 5 1 2 0
0 0 1 1 1 0 1 2 3 3 0 0
0 0 0 2 0 6 0 2 0 2 4 0
0 0 0 0 4 0 0 4 0 0 4 0
0 0 0 0 0 4 0 4 4 0 0 0
0 0 0 0 0 0 4 0 4 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+51x^6+122x^7+370x^8+1172x^9+1486x^10+3310x^11+3344x^12+3320x^13+1500x^14+1174x^15+373x^16+116x^17+34x^18+2x^19+8x^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 0.215 seconds.