The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+52x^5+147x^6+320x^7+736x^8+1280x^9+2870x^10+6560x^11+8870x^12+6504x^13+2876x^14+1280x^15+751x^16+352x^17+122x^18+32x^19+10x^20+4x^21+1x^22

The gray image is a code over GF(2) with n=48, k=15 and d=10.
This code was found by Heurico 1.16 in 1.13 seconds.