The generator matrix

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

generates a code of length 42 over Z16 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+44x^33+106x^34+188x^35+234x^36+316x^37+459x^38+872x^39+1766x^40+2674x^41+3066x^42+2686x^43+1815x^44+906x^45+401x^46+286x^47+239x^48+138x^49+52x^50+62x^51+38x^52+18x^53+11x^54+2x^55+2x^56+1x^60+1x^62

The gray image is a code over GF(2) with n=336, k=14 and d=132.
This code was found by Heurico 1.16 in 4.13 seconds.