The generator matrix

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

generates a code of length 23 over Z16 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+50x^18+16x^19+105x^20+64x^21+492x^22+608x^23+492x^24+64x^25+84x^26+16x^27+38x^28+12x^30+3x^32+2x^34+1x^36

The gray image is a code over GF(2) with n=184, k=11 and d=72.
This code was found by Heurico 1.16 in 26.2 seconds.