The generator matrix 1 0 0 0 0 1 1 1 0 1 X^2 1 1 1 1 X X X 1 0 0 1 X^2 X^2 1 1 1 1 1 X X^2 1 1 X^2+X 1 1 1 X X^2 1 X^2+X 1 1 0 X 0 1 1 0 1 0 0 0 0 X+1 X X^2 X+1 1 X^2 X^2+1 X+1 X^2+X+1 0 1 1 X 1 X 0 1 1 0 1 X+1 X X+1 1 1 1 0 X^2 X^2+X+1 X^2+1 X 1 X^2+X 1 1 X^2 0 0 X X X^2+X X^2 0 0 1 0 0 0 1 X+1 1 X^2+1 X^2 X^2+1 X^2+X X^2+X+1 X^2+X 1 X+1 X^2+X+1 1 X+1 X^2+X X^2+X X^2 X^2 X^2 X X+1 X^2+X+1 X X^2+X+1 X^2+X+1 X^2+1 X+1 X^2+X X X^2+X+1 X^2 X^2+X 1 X^2+1 1 X^2+X+1 X+1 X X^2+X X^2 X^2+1 0 0 0 0 1 0 1 X^2 X^2+1 1 X+1 X^2+1 X^2+X X^2 X^2+1 X^2+X+1 X+1 X^2+1 X^2+X+1 X X^2 1 X^2+X 1 X 1 X 0 X^2+X+1 X+1 X X+1 0 X^2+X 1 X X^2+1 X^2+X 1 X X^2+X+1 X^2+1 X^2+X+1 1 X^2 X^2 1 X^2+X+1 X 0 0 0 0 1 1 X^2+1 X X+1 X^2+1 X^2+X X^2+1 0 X^2 X^2+X+1 X^2+X 0 X+1 X^2 X X+1 X^2+X+1 1 X^2+1 X^2 X+1 0 X^2+1 X 1 0 1 X X^2+X+1 X^2+1 X^2+X+1 X+1 X^2+X X^2+1 X^2+X X+1 X^2 X 1 1 X^2+X X^2+X+1 X 0 0 0 0 0 X 0 X X X^2+X X X^2 0 X X^2+X X^2+X X X^2+X X^2 X^2 X^2+X 0 X^2+X 0 X^2+X X X^2+X 0 0 X X^2 X^2+X X^2+X X^2 X^2+X X^2 X X^2 0 X 0 0 X^2 X^2 X^2+X X^2 X^2+X X^2+X generates a code of length 48 over Z2[X]/(X^3) who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+111x^38+574x^39+1240x^40+2260x^41+3665x^42+5252x^43+7799x^44+9868x^45+12289x^46+14548x^47+14757x^48+14868x^49+13083x^50+10452x^51+8040x^52+5246x^53+3280x^54+1790x^55+990x^56+566x^57+236x^58+80x^59+37x^60+22x^61+8x^62+8x^63+2x^65 The gray image is a linear code over GF(2) with n=192, k=17 and d=76. This code was found by Heurico 1.13 in 136 seconds.