The generator matrix

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

generates a code of length 12 over Z8 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+92x^8+160x^9+236x^10+256x^11+358x^12+576x^13+264x^14+59x^16+32x^17+12x^18+2x^20

The gray image is a code over GF(2) with n=48, k=11 and d=16.
This code was found by Heurico 1.16 in 0.0731 seconds.