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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 0 1 1 1 1 3 3 1 1 1 1 1 3 1 1 1 1 3 1 1 0 3 24 0 21 24 9 21 6 0 21 24 18 12 15 24 21 0 18 24 3 15 6 21 18 3 0 3 18 3 24 18 24 9 3 24 9 18 3 6 12 15 12 18 6 6 12 9 0 0 12 18 21 15 18 21 6 0 6 3 15 0 9 0 18 24 21 6 12 18 3 18 12 3 3 3 3 12 9 21 24 9 0 15 21 9 21 15 18 6 0 24 15 0 0 0 9 0 0 0 0 0 18 0 18 18 0 9 0 9 9 0 0 9 0 18 0 18 0 9 9 18 9 0 9 18 18 18 9 18 9 9 0 9 0 9 0 0 9 9 9 18 18 9 0 9 18 9 9 18 18 0 18 18 18 18 9 9 0 18 9 9 9 18 18 18 18 9 9 18 18 18 18 9 0 9 9 0 0 9 18 0 9 18 0 9 9 9 0 0 0 9 0 0 18 0 0 9 18 18 9 9 9 0 18 18 9 9 9 18 0 9 9 18 18 0 18 0 18 9 18 18 9 18 18 0 0 9 18 18 9 0 9 18 9 0 18 18 9 18 9 0 0 0 9 9 18 9 0 9 9 0 0 0 9 9 0 18 0 0 0 0 0 9 9 18 18 0 18 0 9 18 9 9 0 9 18 0 18 0 0 18 0 0 0 0 18 0 0 9 0 18 18 9 9 18 18 9 9 0 9 0 18 0 18 9 0 9 18 18 9 18 18 9 9 18 0 0 9 0 18 9 0 18 0 18 0 0 9 18 18 18 9 0 9 18 0 18 9 18 18 18 0 18 18 0 9 9 18 9 0 0 9 0 0 9 9 18 0 0 0 18 18 18 0 0 0 9 9 0 0 9 18 18 18 9 0 0 0 0 0 9 0 0 18 18 0 18 9 0 9 18 9 9 18 18 9 0 18 9 18 0 0 0 9 9 0 18 9 18 18 18 18 18 18 18 9 18 0 9 9 0 9 9 0 9 9 18 0 9 0 18 18 0 0 9 0 18 0 9 18 0 9 0 9 0 0 0 18 18 9 18 18 0 18 18 9 18 9 18 18 9 18 18 9 0 9 18 0 0 generates a code of length 94 over Z27 who´s minimum homogenous weight is 174. Homogenous weight enumerator: w(x)=1x^0+110x^174+508x^177+730x^180+324x^182+906x^183+1944x^185+2458x^186+3888x^188+3998x^189+2592x^191+840x^192+502x^195+428x^198+214x^201+130x^204+44x^207+32x^210+16x^213+8x^216+2x^219+4x^222+2x^228+2x^261 The gray image is a code over GF(3) with n=846, k=9 and d=522. This code was found by Heurico 1.16 in 3.94 seconds.