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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 4 4 2 4 1 0 12 0 0 0 0 0 0 0 0 0 8 4 4 4 8 12 4 12 0 4 8 0 12 4 0 8 12 4 8 12 12 4 4 0 4 12 0 4 12 8 12 4 0 0 0 12 0 0 0 0 0 0 0 0 12 8 12 4 4 12 8 4 12 0 8 8 4 12 12 0 8 0 12 12 0 4 12 8 8 12 12 8 0 4 0 0 0 0 0 0 12 0 0 0 4 12 12 8 4 12 0 12 4 8 8 4 4 0 0 4 0 12 8 0 0 0 12 8 12 0 4 12 12 8 8 4 0 4 4 0 8 0 0 0 0 12 0 4 4 4 0 8 0 0 0 0 0 0 8 8 4 4 12 0 4 4 12 12 12 4 8 8 8 4 12 12 8 12 12 12 4 8 0 0 8 0 0 0 0 0 12 4 8 4 4 0 0 0 0 0 4 4 4 4 4 12 12 8 8 8 4 0 0 12 12 4 0 4 12 8 12 4 12 0 4 12 12 12 0 0 0 0 0 0 0 8 8 0 8 8 8 8 8 0 8 8 0 0 0 8 0 8 0 0 0 8 8 0 0 0 0 0 0 0 8 8 8 8 0 8 8 8 0 generates a code of length 44 over Z16 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+72x^34+118x^35+252x^36+308x^37+353x^38+452x^39+663x^40+1316x^41+3422x^42+5972x^43+6897x^44+6050x^45+3348x^46+1324x^47+700x^48+454x^49+395x^50+238x^51+175x^52+122x^53+86x^54+24x^55+16x^56+6x^57+3x^58+1x^78 The gray image is a code over GF(2) with n=352, k=15 and d=136. This code was found by Heurico 1.16 in 16 seconds.