The generator matrix

 1  0  1  1  1  6  1  1  0  1  1 14  1  1  0 14  1  6  1  2  1  1 14 10  1  1  2  0  2  1
 0  1 11  6  1  1  8  5  1  3  0  1 11  6  1  1 13  1  0  6 13  8  1  1  3  4  1  2  0  0
 0  0 12  0  0  0  0  0  0  0  0  8  8  4  4 12 12  4 12  4  8  4 12  4  4  4  8  4  0  0
 0  0  0 12  0  0  0  0  4  4 12 12 12 12  4  8 12  0  8  0  4 12  8  4 12  8  8  8  4  0
 0  0  0  0  4  0  8  4  0  4  8  8 12 12  4  4  8  4 12  8 12 12  8  4  8 12  0  0  4  4
 0  0  0  0  0 12 12  4 12  8 12  8 12  4 12  4 12  0  0 12 12  0  8 12  0 12 12 12  8  4

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

Homogenous weight enumerator: w(x)=1x^0+72x^22+132x^23+299x^24+674x^25+1404x^26+3570x^27+7284x^28+12014x^29+14598x^30+12006x^31+7359x^32+3566x^33+1410x^34+670x^35+276x^36+130x^37+50x^38+6x^39+12x^40+2x^42+1x^56

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 17.6 seconds.