The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 2 1 1 1 1 0 X 1 1 2 1 1 X 1 1 1 X+2 1 1 2 1 1 1 1 0 0 1 X 1 1 1 2 1 1 X+2 X 1 1 1 1 1 1 1 1 X+2 1 1 1 1 1 1 1 1 X X X X X+2 0 1 1 1 X+2 1 1 1 1 0 1 1 X X 0 0 0 1 0 1 1 0 1 1 X X+3 1 X+2 X+3 1 1 2 X+1 X 1 1 1 X 3 1 3 0 1 X+2 3 2 1 3 X+3 1 0 X+1 1 X+2 1 1 0 1 X+2 X 2 1 X+2 1 1 1 X+1 X+1 2 1 2 3 2 1 1 0 3 X 1 1 X+1 2 0 1 1 1 1 1 1 3 X+2 X 1 1 0 X+1 X+1 1 X+2 X+1 X+2 1 1 1 2 X+3 0 0 X 0 0 0 0 0 0 0 X+2 2 X+2 X 2 X+2 X+2 X+2 X X X+2 2 0 X X 0 X X 2 X+2 X+2 X 2 0 0 X 2 X+2 2 X X X+2 0 X+2 X 0 X 2 X 2 X+2 0 0 0 0 2 X+2 X 2 0 0 0 X X 0 0 0 2 X X+2 2 2 0 X+2 X X+2 2 2 X+2 X X+2 2 2 2 2 X 0 0 0 0 0 X 0 0 X 2 0 0 0 0 0 X X 2 X+2 X 2 X+2 X+2 X+2 X+2 2 X X+2 2 X X+2 X+2 X X+2 2 2 X X X+2 0 X X X+2 0 X X 0 2 2 2 X+2 2 0 X+2 0 X+2 2 0 X X 2 X+2 X X X+2 X 0 2 X+2 X 0 0 2 X 0 0 X 0 X X X X X 2 0 2 X+2 X X 0 0 0 0 0 X 0 0 X+2 X+2 2 2 X+2 2 X+2 X+2 X 2 2 0 X 2 X X X+2 X X X 2 2 X+2 X+2 X+2 X+2 2 2 0 2 X X 0 X 2 0 X+2 X+2 X+2 0 X 2 0 X+2 2 2 X X+2 2 0 X 0 X+2 2 X X X+2 0 0 2 X 2 X X+2 X 0 2 X 2 0 2 X X 0 0 X+2 X+2 0 X+2 2 X 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 2 0 2 2 2 0 2 0 2 2 2 0 2 2 2 0 2 2 0 2 2 2 2 0 2 2 2 2 2 2 0 0 0 0 0 0 2 2 0 2 2 2 0 2 0 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 2 0 2 2 2 2 0 0 0 2 0 2 2 0 2 0 2 0 2 0 0 2 0 2 0 0 2 2 2 2 0 0 2 0 2 2 2 0 2 2 2 2 2 2 0 0 2 2 0 2 2 2 0 2 0 2 2 2 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+70x^77+136x^78+250x^79+372x^80+466x^81+685x^82+866x^83+1022x^84+1156x^85+1254x^86+1380x^87+1386x^88+1304x^89+1271x^90+1090x^91+935x^92+830x^93+605x^94+420x^95+294x^96+214x^97+98x^98+60x^99+56x^100+48x^101+41x^102+30x^103+23x^104+8x^105+4x^106+6x^108+2x^114+1x^116 The gray image is a code over GF(2) with n=352, k=14 and d=154. This code was found by Heurico 1.16 in 21.9 seconds.