The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+54x^22+154x^23+242x^24+536x^25+872x^26+2376x^27+3116x^28+6138x^29+5714x^30+6158x^31+3231x^32+2422x^33+850x^34+502x^35+172x^36+118x^37+56x^38+24x^39+22x^40+2x^41+6x^42+2x^43

The gray image is a code over GF(2) with n=240, k=15 and d=88.
This code was found by Heurico 1.16 in 7.28 seconds.