The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  4  2  2  1  4  1  1
 0 12  0  0  0  0  0  0  0 12  4 12 12  4  8  4  8  4 12  8 12  4  4  0  0 12  8 12  0  0
 0  0 12  0  0  0  4 12  4  4  4  8  0  8  8  4  8  0  4 12  4  0 12  4 12  0 12  0  8  0
 0  0  0 12  0  4  4  4  8  4  0 12  4  8  8  4  0  8  0  0  4 12  0  8  4  4  4  4  0  0
 0  0  0  0 12  4  0  4  4  8  0  8 12  4  0  4 12  8  0 12  8  0 12 12 12 12  0 12  0  0
 0  0  0  0  0  8  0  0  8  0  8  8  8  0  8  8  8  8  0  0  0  0  0  0  0  8  0  0  0  8
 0  0  0  0  0  0  8  0  0  0  0  0  0  8  0  8  0  0  8  8  8  8  0  8  0  8  8  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+74x^22+76x^23+183x^24+254x^25+272x^26+498x^27+1355x^28+3246x^29+4407x^30+3306x^31+1383x^32+522x^33+291x^34+198x^35+140x^36+74x^37+70x^38+18x^39+9x^40+4x^42+1x^44+1x^46+1x^50

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 2.34 seconds.