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  2  1  2  2  2  2  1  1
 0  8  0  0  0  0  0  0  0  0  0  8  0  0  8  8  0  0  0  8  8  0  8  0  0  8  8  8  8  0
 0  0  8  0  0  0  0  0  0  0  0  8  8  8  8  8  0  8  0  8  0  0  0  0  8  8  0  0  0  8
 0  0  0  8  0  0  0  0  0  0  8  0  8  8  0  8  8  8  0  0  8  8  8  8  0  0  0  8  0  8
 0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  0  8  8  8  0  8  8  8  0  8  8  8  8
 0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  0  8  8  0  8  8  8  8  0  8  8  8  0  8  0
 0  0  0  0  0  0  8  0  0  8  0  0  8  0  0  8  8  8  8  8  0  0  8  0  8  8  0  8  8  0
 0  0  0  0  0  0  0  8  0  8  8  8  8  0  0  0  0  8  0  8  8  8  0  0  0  8  0  8  8  8
 0  0  0  0  0  0  0  0  8  8  8  8  0  0  8  8  8  0  0  8  0  8  0  8  0  0  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+42x^22+73x^24+140x^26+134x^28+3288x^30+230x^32+76x^34+56x^36+30x^38+15x^40+8x^42+2x^44+1x^48

The gray image is a code over GF(2) with n=240, k=12 and d=88.
This code was found by Heurico 1.16 in 85.2 seconds.