The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+76x^23+355x^24+536x^25+1028x^26+2038x^27+3661x^28+5604x^29+6268x^30+5370x^31+3725x^32+2224x^33+1040x^34+442x^35+250x^36+84x^37+44x^38+10x^39+7x^40+4x^42+1x^44

The gray image is a code over GF(2) with n=240, k=15 and d=92.
This code was found by Heurico 1.16 in 46 seconds.