The generator matrix

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

generates a code of length 23 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+225x^16+248x^18+128x^19+1594x^20+1024x^21+2920x^22+3840x^23+3355x^24+1024x^25+1352x^26+128x^27+404x^28+88x^30+50x^32+2x^36+1x^40

The gray image is a code over GF(2) with n=184, k=14 and d=64.
This code was found by Heurico 1.16 in 2.35 seconds.