The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^22+238x^23+577x^24+1068x^25+2012x^26+4014x^27+6228x^28+12032x^29+12807x^30+12030x^31+6557x^32+4348x^33+1926x^34+834x^35+444x^36+216x^37+88x^38+36x^39+17x^40+6x^42+1x^46

The gray image is a code over GF(2) with n=240, k=16 and d=88.
This code was found by Heurico 1.16 in 21.9 seconds.