The generator matrix

 1  0  1  1  1 14  1  1  0  1 14  1  1  1  8  1  1  6 14  1  8  1  1  6  1  6  1  8  1  1
 0  1 11  6  1  1  0  3  1  5  1  6 13  0  1  3 14  1  1  9  2  8 11  1 11  1  6  2  8  8
 0  0 12  0  0  0 12  0  4 12 12  4 12  4  4 12 12  4 12  0  8  4  8  0  0  4  8  4  0  0
 0  0  0 12  0  0  0  0  0  0  0  8  0 12  4  4 12 12 12 12  8 12  8  4  4  0  4  8  8  0
 0  0  0  0  4  4  0  8 12  4  0 12  0  8  4  8  4  0 12  4  4 12  4 12  8 12 12  8  4 12
 0  0  0  0  0  8  0  0  8  8  8  0  8  0  8  8  0  0  0  0  8  8  0  8  0  8  0  8  8  8
 0  0  0  0  0  0  8  8  8  0  0  8  8  8  8  8  0  8  0  0  8  8  8  8  0  0  8  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+66x^22+118x^23+285x^24+608x^25+1280x^26+3740x^27+7129x^28+11866x^29+15242x^30+12020x^31+7156x^32+3726x^33+1273x^34+556x^35+257x^36+118x^37+55x^38+14x^39+18x^40+2x^41+3x^42+2x^44+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 17 seconds.