The generator matrix

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

generates a code of length 42 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+122x^36+554x^37+1481x^38+2682x^39+3632x^40+5324x^41+5466x^42+5258x^43+3658x^44+2356x^45+1269x^46+646x^47+196x^48+52x^49+40x^50+22x^51+6x^52+2x^53+1x^56

The gray image is a code over GF(2) with n=336, k=15 and d=144.
This code was found by Heurico 1.16 in 6.3 seconds.