The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  0  1  1  0  1
 0  2  0  2  0  0 14  6  4  2  6  4  2  6  0  0
 0  0  2  2  0 14 10  4  2  2  0  2  0  0  2  8
 0  0  0  4 12  4  0  4  0  0  8  4  4  8  0  8
 0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  0
 0  0  0  0  0  8  0  8  8  0  0  0  8  8  0  0
 0  0  0  0  0  0  8  0  8  8  0  8  0  8  8  8

generates a code of length 16 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+59x^10+168x^11+421x^12+1152x^13+3154x^14+6808x^15+9117x^16+7008x^17+3148x^18+1080x^19+434x^20+160x^21+38x^22+8x^23+10x^24+1x^26+1x^28

The gray image is a code over GF(2) with n=128, k=15 and d=40.
This code was found by Heurico 1.16 in 1.65 seconds.