The generator matrix

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

generates a code of length 24 over Z16 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+45x^20+16x^21+48x^22+240x^23+333x^24+240x^25+48x^26+16x^27+26x^28+9x^32+1x^36+1x^40

The gray image is a code over GF(2) with n=192, k=10 and d=80.
This code was found by Heurico 1.16 in 0.0207 seconds.