The generator matrix

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

generates a code of length 30 over Z16 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+58x^22+108x^23+177x^24+202x^25+299x^26+470x^27+756x^28+3310x^29+5605x^30+3314x^31+785x^32+502x^33+289x^34+186x^35+151x^36+82x^37+49x^38+18x^39+17x^40+4x^42+1x^52

The gray image is a code over GF(2) with n=240, k=14 and d=88.
This code was found by Heurico 1.16 in 2.38 seconds.