The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2  0  2  1  2  8  1  1  1  1  1  8  4  1  1  2  1  2  1
 0  2  0  6  0 14  0  6  2 12  6 14  2 14  4  6  2 12  6  4 10 14  2  2 12  4 12 14  6  8
 0  0 12  0  0  0  4  4  4  8  0  0  4  4  8  8 12 12  8  8 12 12  0 12 12  0  0  0  0  4
 0  0  0 12  0  0  0  0  0  0  0  8  8  8  0  8 12 12  4  4  4  4 12  4  0  4  8  8  0  4
 0  0  0  0 12  4  4  4  8  0  0 12 12  0 12  8  4  8  4  8  4  8  0  4 12  8  4  4  0  4
 0  0  0  0  0  8  0  8  8  0  8  0  0  8  8  8  0  0  8  8  0  8  8  8  0  8  8  8  0  8
 0  0  0  0  0  0  8  8  0  8  8  8  8  0  0  0  0  0  8  8  0  8  0  8  0  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+71x^22+110x^23+267x^24+398x^25+957x^26+1432x^27+4029x^28+5252x^29+7674x^30+5242x^31+4169x^32+1398x^33+990x^34+366x^35+226x^36+114x^37+31x^38+16x^39+11x^40+4x^41+5x^42+2x^43+1x^44+2x^45

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 7.09 seconds.