The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+44x^20+16x^21+101x^22+176x^23+370x^24+176x^25+74x^26+16x^27+30x^28+17x^30+2x^32+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 0.0142 seconds.