The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+110x^23+270x^24+756x^25+1754x^26+3952x^27+6867x^28+12688x^29+12908x^30+12376x^31+6993x^32+4116x^33+1628x^34+696x^35+260x^36+104x^37+28x^38+18x^39+8x^40+2x^42+1x^44

The gray image is a code over GF(2) with n=240, k=16 and d=92.
This code was found by Heurico 1.16 in 75.4 seconds.