The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 1 4 1 8 1 8 8 2 1 0 12 0 0 0 4 12 12 8 8 0 0 4 4 4 12 8 4 12 4 8 12 8 12 4 8 0 0 4 8 4 4 4 12 4 8 0 12 8 4 12 12 0 0 12 0 4 4 4 0 8 0 4 12 4 4 0 8 0 12 4 8 8 4 8 8 12 12 4 12 0 0 0 4 12 12 4 12 4 8 4 12 8 0 0 0 0 12 4 8 4 4 0 4 4 0 0 12 4 8 4 0 8 0 4 12 0 4 8 12 8 8 12 12 8 8 0 4 0 8 4 4 4 8 8 0 0 0 0 0 8 8 0 8 8 8 0 8 0 8 0 8 0 8 8 8 8 8 0 0 0 8 0 8 8 8 0 0 0 0 0 0 0 8 0 8 8 8 generates a code of length 42 over Z16 who´s minimum homogenous weight is 37. Homogenous weight enumerator: w(x)=1x^0+44x^37+116x^38+154x^39+90x^40+590x^41+133x^42+576x^43+76x^44+120x^45+55x^46+30x^47+21x^48+14x^49+14x^50+4x^51+4x^52+1x^54+4x^55+1x^66 The gray image is a code over GF(2) with n=336, k=11 and d=148. This code was found by Heurico 1.16 in 10.8 seconds.