The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  8  0  2  1  1 12  1  2  0  4  1  8  4  0  1  2  1
 0  2  0  6  4  6  0  2 12 14  8 10 14  2  2  6  4 12  2 14  6  2  2 10  2  0  2  6 10 14
 0  0 12  0  4  0  4  8  4  4  0  4  4  4  0 12  0  8  8  8  0  4  8 12  8  4  4  8  0 12
 0  0  0 12  0  0  4  4  4  0  4 12  8  0  8  4  4  8  8  4  0 12 12 12 12 12  4 12  8  8
 0  0  0  0  8  0  0  8  8  8  8  0  8  0  8  8  0  0  8  8  8  0  8  8  0  8  8  8  0  0
 0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  0  8  8  0  8  8  0  0  8  8  0  8  8  0  0
 0  0  0  0  0  0  8  0  8  8  0  8  8  8  0  8  8  8  8  8  8  0  8  8  0  0  0  8  8  8

generates a code of length 30 over Z16 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+52x^23+171x^24+274x^25+440x^26+1188x^27+2083x^28+2416x^29+2899x^30+2884x^31+1943x^32+1100x^33+470x^34+220x^35+148x^36+48x^37+28x^38+8x^39+5x^40+2x^41+2x^42+1x^44+1x^46

The gray image is a code over GF(2) with n=240, k=14 and d=92.
This code was found by Heurico 1.16 in 6.25 seconds.