The generator matrix

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

generates a code of length 36 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+199x^24+502x^28+128x^30+1269x^32+896x^34+26720x^36+896x^38+1390x^40+128x^42+464x^44+146x^48+24x^52+3x^56+2x^60

The gray image is a code over GF(2) with n=288, k=15 and d=96.
This code was found by Heurico 1.16 in 11.6 seconds.