The generator matrix

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

generates a code of length 30 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+142x^26+80x^27+167x^28+432x^29+448x^30+432x^31+142x^32+80x^33+88x^34+8x^36+24x^38+2x^42+1x^44+1x^48

The gray image is a code over GF(2) with n=240, k=11 and d=104.
This code was found by Heurico 1.16 in 38.2 seconds.