The generator matrix 1 0 0 1 1 1 X X+2 1 1 1 2 1 X^2+X+2 1 2 1 1 1 X+2 X 1 0 0 X^2+2 1 1 1 1 1 X^2+X X X^2 1 1 1 X^2+X 1 1 X^2+2 1 1 X^2+2 1 1 1 1 X^2+X+2 1 0 1 X^2 1 1 1 X^2+X+2 1 1 X 1 X 1 2 0 X+2 X^2 X^2+X 1 X+2 1 0 1 1 X^2 X^2+2 2 1 1 X^2+2 1 2 X^2+X X^2+2 X^2+X 1 0 1 1 X^2+X 0 1 1 1 1 1 0 1 0 0 X^2+1 X+1 1 2 2 0 X+3 1 1 1 X^2+X 1 X+1 0 1 X^2 1 X^2 X^2+2 1 1 X^2+X+3 X+1 X^2+X+2 X^2+X X^2+X 1 1 X X+1 3 1 1 0 X^2+2 1 2 X^2+1 2 X^2+X 1 X+1 X+3 X 2 1 X^2+X+2 1 1 X X^2+X+1 1 X+2 X^2+2 1 X^2+2 1 X^2+X 1 1 1 X^2+X+2 1 X^2+X+3 X^2+X+2 X^2+1 1 2 X+2 X^2+X+2 1 1 1 3 X^2+X+2 X 1 1 1 2 1 X^2+2 X^2+2 X^2+1 X^2 1 X^2+X+2 X^2+X+2 X^2+X+2 X^2+1 X^2 0 0 1 1 1 0 X^2+1 1 X^2+X X+3 X^2+X+1 X^2+3 0 2 2 X^2+X X+2 X^2+1 X^2+1 1 X^2+X+1 X 1 1 2 X^2+X+1 X^2 X+3 X^2+1 2 1 X^2 1 X^2+1 X X+3 X+2 X^2 X^2+X+3 X+2 X^2+X X+2 1 X^2+3 X^2+3 1 X+2 1 0 X^2+X+3 X^2+X+1 X X^2 0 X^2 X+2 X^2+X+2 X+1 1 X^2+X X+3 X^2+X X+1 0 X^2+X+2 1 X+1 X^2+X+2 1 X X+2 3 X^2+3 1 3 X X+1 X 1 X^2+3 X+3 X X^2+X+1 1 X^2+X+3 1 X^2+2 1 1 X^2+X+1 X^2+X X^2 X+2 3 2 0 0 0 X X+2 2 X+2 X+2 X^2+2 X^2 0 2 X X+2 X^2+2 X^2 X^2 2 X^2 2 2 X^2+X X^2+X X^2+X+2 X^2+X X X 0 X X+2 0 0 X^2+2 0 X^2+2 X+2 X^2 X^2+X X X 0 X^2+X+2 X+2 2 X^2+X+2 X^2+X X+2 X X+2 X^2+X+2 X+2 2 X^2+2 0 X^2 2 X^2+X+2 X^2+X+2 X^2+X X X^2+X+2 X^2 2 X^2 X X^2+X 2 X^2+X X^2 X^2 X 0 0 2 X^2+2 X^2+X X^2+X+2 X X+2 X^2+X X X^2+X X^2+2 X X^2 X+2 X^2+2 0 0 X+2 X^2+X X^2+X+2 2 X^2 X^2+X+2 generates a code of length 95 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+242x^88+930x^89+1704x^90+2608x^91+2614x^92+3674x^93+3272x^94+3928x^95+3168x^96+3226x^97+2112x^98+2030x^99+1314x^100+862x^101+478x^102+280x^103+131x^104+84x^105+43x^106+30x^107+18x^108+8x^109+4x^110+4x^111+3x^114 The gray image is a code over GF(2) with n=760, k=15 and d=352. This code was found by Heurico 1.16 in 15.6 seconds.