The generator matrix 1 0 0 1 1 1 0 1 X+2 X 1 X 1 1 1 X 2 1 1 X 1 1 0 1 2 1 1 2 X+2 1 1 1 X 2 X+2 1 1 0 1 X 1 2 X 1 1 1 1 1 2 1 2 2 X+2 1 2 2 1 1 2 1 2 1 X+2 1 X+2 0 1 X 1 0 1 0 X 0 1 1 1 X X 1 1 2 1 1 1 2 1 1 1 X+2 1 1 1 1 0 X 0 0 1 0 0 1 1 1 X 1 X+2 X+2 1 3 3 X 1 X 2 X+3 1 X+1 0 1 X 2 X+3 1 1 2 X+1 X+3 X+2 1 1 1 0 0 X 3 2 X+2 1 1 1 X+1 1 X+2 X+3 X+2 3 1 1 1 3 1 1 X+2 1 1 2 1 0 1 X+3 1 1 X+1 1 0 1 X+3 2 1 1 1 3 X+2 1 X+2 0 0 1 1 X X 0 X+2 X+2 3 0 X+3 3 2 X+2 0 1 1 0 0 1 X+1 X+3 0 X+1 3 2 1 0 1 1 X+2 X+3 X 1 X 2 X+1 3 3 X+2 X+2 1 2 1 3 1 X+3 X 2 3 0 2 1 0 1 0 1 1 X+1 X X+2 X+1 2 3 X 1 3 X X+3 3 X+1 3 2 0 X+2 X+2 1 3 X+1 X+1 3 X+3 1 X+1 3 X X+1 3 1 0 X 0 3 X X+2 1 X X+2 1 X+3 X+1 3 1 X+1 X+3 X+1 1 1 2 2 X+1 1 X 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 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 0 2 0 2 0 2 0 2 0 0 2 2 2 0 0 2 0 2 2 0 2 0 0 2 2 0 2 0 2 0 2 2 0 2 0 2 2 0 0 2 0 0 0 2 2 0 0 2 2 0 0 0 0 0 2 0 2 2 0 2 2 0 0 2 0 2 2 2 0 2 0 0 2 0 0 2 2 2 0 0 2 0 0 0 2 2 2 2 0 2 2 2 0 0 2 2 2 0 0 0 2 0 2 2 0 2 0 2 0 0 2 2 0 2 2 0 0 0 0 0 2 0 2 0 0 2 0 2 0 2 2 2 0 2 0 2 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 0 0 0 2 2 0 0 2 0 0 2 0 0 0 2 2 2 2 0 0 0 2 0 2 2 2 0 0 0 0 0 2 0 2 0 0 0 2 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 2 0 0 2 2 2 0 0 2 2 0 2 0 2 2 generates a code of length 97 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+121x^90+218x^91+395x^92+330x^93+423x^94+300x^95+342x^96+286x^97+331x^98+212x^99+233x^100+184x^101+192x^102+130x^103+117x^104+66x^105+59x^106+30x^107+38x^108+26x^109+21x^110+6x^111+20x^112+4x^113+5x^114+6x^116 The gray image is a code over GF(2) with n=388, k=12 and d=180. This code was found by Heurico 1.16 in 1.64 seconds.