The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  4  2  2  2  4  4  2  2  4  1  1
 0 12  0  0  0  4 12  4  8  0  4  0  8  4  4  4  4  8  4  4 12  4 12  4  8  8  8  4 12 12
 0  0 12  0  4  4 12  0  0  4  8  0 12 12  8  4  4  8 12  4  8  4  0  8  0 12  4  8  4  0
 0  0  0 12  4  0 12  4  4  8  0  8  4  4  4  8  8 12  8  8  8  8  0  4  4  0  4 12  0 12
 0  0  0  0  8  0  0  8  0  8  8  0  0  0  0  8  0  8  0  0  0  8  8  8  8  8  0  0  8  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  0  0  8  0  0  0  0  0  8  0  8  8  0  0
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  0  0  0  8  8  8  0  8  0  0  8  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+50x^23+120x^24+170x^25+248x^26+424x^27+849x^28+1396x^29+1722x^30+1424x^31+787x^32+428x^33+230x^34+144x^35+94x^36+52x^37+38x^38+6x^39+4x^40+2x^41+2x^42+1x^44

The gray image is a code over GF(2) with n=240, k=13 and d=92.
This code was found by Heurico 1.16 in 0.694 seconds.