The generator matrix

 1  0  1  1  1  0  1  1  1  1  1  1
 0  1  1  0  1  1  0  7  0  4  6  4
 0  0  2  0  0  0  0  2  0  2  4  0
 0  0  0  2  0  0  0  2  4  2  6  4
 0  0  0  0  2  0  0  2  6  4  6  0
 0  0  0  0  0  2  0  6  4  4  6  6
 0  0  0  0  0  0  2  6  6  2  6  4

generates a code of length 12 over Z8 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+42x^5+180x^6+446x^7+1023x^8+2508x^9+6535x^10+13378x^11+17309x^12+13420x^13+6471x^14+2466x^15+1108x^16+476x^17+125x^18+30x^19+15x^20+2x^21+1x^22

The gray image is a code over GF(2) with n=48, k=16 and d=10.
This code was found by Heurico 1.16 in 2.83 seconds.