The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  0  2 12 12  2  2  1  1  2  2  1  1  2  1  1  1  2
 0  2  0  2  0  4 14  2 12 14 14  0  8 12  6  2  2  8  8 10  6 10 12  4  0 10  6  8  6  0
 0  0  2  2  0  2  8  2  2 10  0 12  6  2  4  2  8 14  6  0 12 12 10  0  4  2  8  8  6  0
 0  0  0  4  0  0  0  0  0  0 12 12  4  8  8  0 12 12  4  8  8  4  0  4 12 12  4 12 12 12
 0  0  0  0 12  0 12  8  4 12  8  8  8 12  4 12  4 12  8  4  8  8  8  4  0  8  4  4  0  0
 0  0  0  0  0  8  0  8  8  8  8  8  0  8  8  0  0  8  8  8  0  0  0  8  0  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+72x^23+306x^24+484x^25+1187x^26+1498x^27+4279x^28+4554x^29+7918x^30+4646x^31+4324x^32+1586x^33+1141x^34+390x^35+233x^36+62x^37+57x^38+18x^39+9x^40+2x^41+1x^46

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 6.8 seconds.