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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+146x^40+20x^41+228x^42+172x^43+489x^44+600x^45+930x^46+552x^47+432x^48+148x^49+168x^50+44x^51+85x^52+42x^54+28x^56+8x^58+2x^60+1x^72

The gray image is a code over GF(2) with n=368, k=12 and d=160.
This code was found by Heurico 1.16 in 0.336 seconds.