The generator matrix 1 0 0 0 0 1 1 1 X+2 X 1 X+2 1 0 1 1 1 1 1 X 1 2 1 X 2 1 X X 1 1 X+2 1 X+2 1 1 1 1 0 X+2 1 1 1 0 0 1 2 X+2 2 0 1 2 1 1 X+2 X 1 1 X 1 0 2 1 1 X 1 1 1 X+2 2 1 1 X 1 2 0 X+2 1 1 2 1 1 2 0 0 1 1 1 1 0 1 0 0 0 X 2 X+2 X 1 3 1 X+1 1 3 3 0 0 3 1 X+2 1 2 1 0 X+3 1 0 X+1 1 2 X+3 1 X 2 X+2 1 1 1 2 1 1 X+2 1 X+1 0 1 1 1 2 1 X+3 3 1 1 X X 0 1 X 1 1 X+2 2 0 0 X+2 1 1 X+1 2 1 X 1 1 1 2 X+1 1 1 X+3 0 X X X+1 X+2 3 X+1 0 0 1 0 0 0 0 0 2 0 2 0 0 2 2 0 1 3 1 X+3 X+1 3 X+3 X+3 1 X+1 X+3 1 3 3 1 X+2 X+2 X+2 X+1 X+2 1 X 1 1 1 X+3 1 X 0 1 X+3 X+2 1 X+2 X+2 X+3 X 1 X+3 X+2 X+1 1 X+2 2 X+3 X+2 2 1 X+3 X+1 X+1 X 2 X X+3 X+2 2 X+1 2 3 X+2 2 1 X+1 1 2 1 X X+1 X+1 1 0 0 0 0 1 0 0 3 1 1 3 1 X+2 X+2 X+3 X X+1 2 3 X+2 X 3 1 0 2 3 X+1 3 X+3 0 3 X 0 1 X+1 X+3 1 X+3 X+1 3 0 X+2 1 2 X X X X+3 X 2 X 2 2 0 3 2 X+3 X 0 X+1 1 1 X+3 2 1 X+3 X+3 2 X 2 0 X+2 1 3 2 X 2 3 3 X 1 X X X+1 1 X+1 2 X+3 X+3 0 0 0 0 1 1 1 X 3 X+2 1 X+3 X+2 3 X+3 X 3 X X+2 3 X+1 3 2 X 1 3 X+2 X X+1 2 3 X+1 X+3 2 0 3 2 0 X X+2 2 X+3 1 X+1 X+3 X X+3 X+2 0 0 X+3 X+1 0 0 X+3 1 X+1 0 1 X+3 1 X+2 X+2 X+1 X+2 X+3 X+3 X X 0 X+3 X+1 2 X+3 X+1 X+1 2 1 0 X 2 1 X+2 X+3 X+1 3 X+1 X+1 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 0 0 0 2 2 2 2 0 0 2 0 0 2 2 0 2 0 0 2 2 0 2 0 0 0 2 0 0 0 2 0 2 0 2 0 2 2 2 0 0 0 2 0 0 2 2 2 2 0 2 2 0 0 2 2 2 0 2 0 0 0 0 2 0 generates a code of length 88 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+240x^77+633x^78+1136x^79+1615x^80+2186x^81+2862x^82+3312x^83+4018x^84+4060x^85+4979x^86+4804x^87+5596x^88+5022x^89+5180x^90+4446x^91+3928x^92+3132x^93+2799x^94+2120x^95+1430x^96+834x^97+503x^98+312x^99+170x^100+104x^101+65x^102+28x^103+8x^104+6x^105+2x^106+2x^107+2x^112+1x^130 The gray image is a code over GF(2) with n=352, k=16 and d=154. This code was found by Heurico 1.13 in 86.9 seconds.