The generator matrix

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

generates a code of length 24 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+242x^16+328x^18+1558x^20+1024x^21+4416x^22+3072x^23+11330x^24+3072x^25+4656x^26+1024x^27+1532x^28+320x^30+169x^32+8x^34+14x^36+2x^40

The gray image is a code over GF(2) with n=192, k=15 and d=64.
This code was found by Heurico 1.16 in 32.4 seconds.