The generator matrix

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

generates a code of length 23 over Z16 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+103x^20+272x^22+256x^23+336x^24+16x^26+37x^28+2x^32+1x^40

The gray image is a code over GF(2) with n=184, k=10 and d=80.
This code was found by Heurico 1.16 in 1.09 seconds.