The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+22x^22+38x^23+120x^24+146x^25+322x^26+442x^27+860x^28+1402x^29+1415x^30+1438x^31+965x^32+470x^33+250x^34+126x^35+90x^36+30x^37+34x^38+4x^39+10x^40+4x^42+2x^44+1x^46

The gray image is a code over GF(2) with n=240, k=13 and d=88.
This code was found by Heurico 1.16 in 0.559 seconds.