The generator matrix

 1  1  1  1  2  1  1  8  1  1  2  4  1
 0  2  0  6  2  0  6  2  0  2  0  4  0
 0  0 12  0  0  0  0  4  8 12  4  8  8
 0  0  0 12  0  0  4  4  0  8 12  8  4
 0  0  0  0  4  0  4  8  4  0 12  4 12
 0  0  0  0  0 12  8 12 12  8 12  0  0

generates a code of length 13 over Z16 who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+52x^7+162x^8+434x^9+774x^10+2932x^11+7248x^12+9522x^13+7270x^14+2988x^15+773x^16+406x^17+146x^18+44x^19+8x^20+6x^21+2x^22

The gray image is a code over GF(2) with n=104, k=15 and d=28.
This code was found by Heurico 1.16 in 0.965 seconds.