The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 1 2 1 12 1 1 1 2 0 1 1 2 1 12 2 0 2 1 1 1 1 1 2 1 2 1 1 1 1 0 2 12 6 0 6 12 10 0 6 12 10 6 2 0 6 10 12 2 10 6 0 6 2 12 10 10 0 2 6 2 10 6 10 10 12 12 6 6 0 12 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 0 8 0 8 8 0 8 8 0 8 0 0 8 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 8 0 0 0 8 8 8 8 8 8 8 0 0 8 8 0 0 0 8 0 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 8 8 8 0 8 8 0 0 0 8 8 8 8 8 8 0 0 0 8 0 8 8 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 0 0 8 0 8 0 0 0 8 8 8 0 0 8 8 8 8 0 0 8 8 0 8 8 8 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 0 8 8 0 8 8 8 8 0 8 0 8 0 0 8 0 0 0 0 8 0 8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 0 8 0 0 0 0 0 0 8 8 8 0 8 8 8 8 0 0 8 8 8 8 0 8 8 0 0 8 8 8 0 0 0 0 0 0 0 0 0 8 0 8 8 0 0 8 0 8 8 8 0 8 0 8 0 0 8 8 0 8 8 0 8 8 0 0 8 0 8 0 0 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 8 0 8 8 8 0 8 8 8 0 0 0 0 8 0 8 8 8 8 8 8 8 0 8 0 8 8 0 8 0 0 0 0 generates a code of length 44 over Z16 who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+55x^32+61x^34+22x^35+200x^36+190x^37+283x^38+728x^39+744x^40+2984x^41+2682x^42+6324x^43+4262x^44+6292x^45+2681x^46+3000x^47+724x^48+744x^49+302x^50+166x^51+140x^52+30x^53+101x^54+12x^56+26x^58+6x^60+7x^62+1x^66 The gray image is a code over GF(2) with n=352, k=15 and d=128. This code was found by Heurico 1.16 in 11.6 seconds.