The generator matrix 1 0 1 1 1 X+2 1 1 0 X+2 1 1 1 1 X 1 2 1 X+2 1 1 X+2 1 1 1 X+2 1 1 X+2 1 2 1 1 1 1 1 2 1 X 1 X+2 1 1 1 2 1 2 1 1 2 1 1 1 1 1 1 2 X+2 1 1 1 1 1 1 0 0 1 X X+2 1 X 1 1 1 2 2 2 0 2 1 0 0 1 1 1 1 1 0 1 2 2 1 0 0 1 1 0 1 1 X X+3 1 1 X+3 2 X X+1 1 X 1 1 1 3 0 1 X+3 X 2 1 3 0 1 1 1 X+1 0 X+3 0 X+2 1 1 1 3 1 X+2 X+3 X 1 0 1 2 X 1 X X+3 X+1 X+2 3 0 1 1 X+1 X+2 1 3 2 3 1 1 2 1 1 X+1 1 X+3 2 X+2 1 X 1 2 1 X 1 1 0 X+2 X+1 3 X+2 1 3 X X 3 X 0 0 X 0 0 0 0 0 0 2 X+2 X X+2 2 0 X X X X+2 2 X+2 X+2 X X X X 2 X X 2 0 X X+2 X+2 2 0 2 X+2 0 X+2 X 2 0 2 X+2 X+2 X 0 X X+2 2 X+2 X X X+2 X 0 2 0 X 0 2 X X+2 X X+2 X 2 0 2 0 X X+2 X+2 X+2 X X 0 X 2 X+2 2 2 X X+2 X+2 0 0 0 2 2 2 X 0 0 0 X 0 0 X 2 X X+2 0 X+2 X X 0 0 2 X X+2 X+2 2 0 X 2 X+2 0 2 0 X X+2 X 2 X X X X+2 0 X X 0 0 2 2 X X+2 0 X+2 X+2 X+2 0 2 2 X+2 X 0 X X X X+2 2 X 0 X X X+2 2 X+2 2 0 0 X X 0 0 X X+2 X X 0 2 X+2 X 2 2 X+2 X+2 X 0 0 X X 0 0 0 0 0 0 X 0 0 X+2 X+2 X+2 2 X X X+2 X X+2 0 0 0 X X+2 0 2 2 2 X 0 2 X+2 2 0 X 0 X+2 X X+2 0 X+2 2 X+2 2 0 X X+2 X+2 X+2 0 2 2 2 X+2 0 0 0 X X X X X 2 X X X+2 2 X+2 X+2 0 X 2 2 0 2 X 0 X 0 X+2 2 0 2 X X+2 X+2 0 X X+2 0 0 2 2 2 2 X+2 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 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 0 2 0 2 2 0 0 0 2 2 2 0 0 2 0 2 2 2 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 2 2 2 2 2 0 2 0 0 0 2 0 2 2 0 2 2 0 2 0 0 0 0 2 2 2 0 2 0 2 0 2 2 0 2 2 2 2 0 0 2 0 2 2 0 2 0 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 0 2 0 2 0 0 2 2 2 0 0 2 2 2 2 0 0 generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+109x^82+60x^83+429x^84+296x^85+670x^86+648x^87+833x^88+1044x^89+1033x^90+1312x^91+1160x^92+1492x^93+1162x^94+1304x^95+936x^96+1004x^97+747x^98+708x^99+499x^100+244x^101+240x^102+64x^103+168x^104+16x^105+95x^106+54x^108+38x^110+13x^112+2x^116+2x^118+1x^120 The gray image is a code over GF(2) with n=372, k=14 and d=164. This code was found by Heurico 1.16 in 25.1 seconds.