The generator matrix

 1  0  0  1  1  1 10  4  2  0  1  1  1  1  1  1  6  8 14  1  1  8  1 12  1  2  0  8  1  1
 0  1  0  4  5  1  1  1  1  6  0  8 15 11 10  6  1  1  2  1 13  1 12  6  9  4  1  1 13 15
 0  0  1  7  3  4  3  2  1  1  6  1  3  2  5  0  6  1  1  1  2  2  5  1  6  1  0 11  7  5
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  0  8  8  8  8  8  8  0  0  8  8  8  0  8  8  8
 0  0  0  0  8  0  0  8  8  8  0  0  8  0  0  0  0  8  8  0  8  0  0  0  8  8  8  8  0  0
 0  0  0  0  0  8  0  8  8  8  0  0  0  8  0  8  0  8  0  0  0  8  8  8  8  0  0  0  8  0
 0  0  0  0  0  0  8  0  8  0  8  8  0  8  8  8  0  0  8  0  0  0  8  8  0  0  8  0  8  0

generates a code of length 30 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+149x^24+464x^25+1702x^26+4048x^27+7119x^28+12368x^29+13842x^30+12416x^31+7111x^32+4048x^33+1646x^34+432x^35+136x^36+16x^37+22x^38+11x^40+4x^42+1x^44

The gray image is a code over GF(2) with n=240, k=16 and d=96.
This code was found by Heurico 1.16 in 13.5 seconds.