The generator matrix 1 0 0 0 1 1 1 X+2 X^2+X 1 1 1 1 X^2+X X 0 X^2+2 1 1 1 1 1 X X^2+X X X 1 X+2 1 X 1 0 2 X+2 1 1 1 1 X^2+X 1 X X^2+X+2 1 1 1 2 X^2 1 1 1 X+2 1 1 1 1 1 X^2+2 0 X+2 X^2+X+2 1 1 1 X^2+X X+2 1 0 X^2 1 1 1 1 1 1 1 1 X^2 X^2+X+2 1 2 X^2+2 1 1 X^2+X+2 1 1 X^2+X 1 1 1 1 X X+2 1 X^2+X 1 0 1 0 0 2 X^2+3 X+3 1 0 X^2+2 X^2 X^2+X+3 X^2+1 1 1 X+2 1 1 X^2+X+3 X^2+X X^2 0 X X 1 1 X^2+3 X+2 X^2+X 1 X^2+3 1 1 0 X^2+2 X+1 0 3 1 X^2+X+2 2 1 X 1 X+1 1 X^2+X X^2+X+2 1 X+1 X X+1 X+1 X^2+2 X^2+X+2 X^2 1 1 1 X^2 X^2+X+1 X^2+X+1 X^2+X+1 1 1 X X^2+X+2 1 X^2+3 X^2+1 X^2+X X+3 X+3 3 X+2 X^2+X 0 X^2+X+2 X 1 X^2+X+2 1 X^2+3 1 X+2 3 2 0 X X^2+X+3 1 X^2+2 X+2 X+3 X+2 0 0 0 1 0 X^2+2 2 X^2 X^2 1 X^2+X+1 1 X+3 3 X^2+1 3 1 0 X+3 X X+2 X^2 3 X+2 1 X^2+X+3 2 X+2 1 X+3 X+1 X^2+3 X^2+X+3 X+2 1 X^2+X X+3 X+1 2 X+1 X^2+X+2 X^2+X X^2 X^2+X+1 X^2+X+3 X^2+X 0 1 3 X^2+X X^2+2 X^2+2 X^2+X+2 X^2+3 X^2+2 X^2+3 X+2 X^2+1 X+3 X^2+X 1 X^2 X^2+1 X+1 X X+2 X X+2 X 0 X^2+3 X^2+3 X^2+3 0 3 X^2 X^2+1 1 1 X^2+X+3 X^2+2 1 X^2+3 X+1 X+1 X^2+3 0 1 X^2+1 X^2+X+3 X^2+X+3 X^2+X+2 1 1 3 X^2 0 0 0 0 1 X^2+X+1 X^2+X+3 2 X+1 X^2+1 X+1 0 X+2 X^2+1 X^2+1 X^2+X+2 X^2+1 X^2+3 X^2+X+1 X^2+X X+1 X^2+X+2 X+2 1 X^2+X X^2 X+2 1 X^2+X+1 X^2+1 X^2+1 0 X^2+X+2 X^2+X+1 X^2+2 X^2+X+1 X^2+X+3 X^2+1 X^2+X+2 X+1 X^2+2 1 0 X^2+2 2 2 X+1 X X+1 X+1 X^2+X+2 1 X^2+3 X+2 X^2+1 X^2+X X^2 1 2 X^2+X+3 X+3 1 X^2 X+3 X 1 3 1 X^2+2 3 X X^2+1 3 X^2+X+3 X+3 X^2+2 X+2 3 X^2+2 X+3 X^2+X X^2+X+3 X^2+X+1 X^2+2 X^2+X+2 2 X^2 X^2+X+2 1 X^2+1 3 X 2 X^2+3 X^2+X+2 1 2 generates a code of length 96 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+90x^88+922x^89+2126x^90+3568x^91+4353x^92+5468x^93+6382x^94+6608x^95+7117x^96+7148x^97+6365x^98+5116x^99+3710x^100+2776x^101+1613x^102+1036x^103+580x^104+290x^105+137x^106+76x^107+29x^108+4x^109+1x^110+12x^111+8x^112 The gray image is a code over GF(2) with n=768, k=16 and d=352. This code was found by Heurico 1.16 in 60.2 seconds.