The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+18x^22+66x^23+95x^24+420x^25+352x^26+1576x^27+1436x^28+3060x^29+2342x^30+3068x^31+1451x^32+1580x^33+338x^34+392x^35+82x^36+60x^37+16x^38+18x^39+5x^40+6x^42+2x^44

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 1.81 seconds.