The generator matrix

 1  0  0  1  1  1  4  8  1  1 10  1 10  1  2  1  0  1  1  4  0  1  6
 0  1  0  1 14 11  1  1  2 10  1  9  6 15  1  3  8  7  5  1  1  7  1
 0  0  1  1  5  4  7  4  4  1  3 15  1  6  0  7  1  2 11  7  1  6 15
 0  0  0  2 10  0  8  6 14 12 14 12 14  6  4  4  2  0 14  4  8  2 12
 0  0  0  0  8  8  8  0  8  0  0  8  8  8  0  0  0  0  8  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+287x^18+964x^19+3382x^20+6860x^21+13163x^22+16040x^23+13428x^24+7000x^25+3199x^26+852x^27+302x^28+28x^29+21x^30+7x^32+2x^34

The gray image is a code over GF(2) with n=184, k=16 and d=72.
This code was found by Heurico 1.16 in 9.75 seconds.