The generator matrix 1 0 1 1 1 X+2 2 1 1 1 1 X 1 1 0 0 1 1 1 X+2 1 1 X 1 1 0 1 X 1 1 1 X+2 1 1 2 1 1 X 1 1 X+2 1 1 X 1 0 0 1 0 2 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 X+2 1 1 1 X+2 1 1 1 X 1 1 1 2 2 1 0 X 1 1 1 1 X 1 2 X 1 0 1 1 0 1 1 1 2 X+1 3 X 1 X+2 X+3 1 1 X 1 1 1 0 X+1 1 X+2 X+1 1 2 1 X+3 0 X+2 1 3 X+1 1 2 X 1 1 0 1 X+2 1 1 X+3 1 1 X+2 1 1 0 1 1 3 3 0 X X+3 0 1 X+3 1 0 X 3 X 0 1 X+1 X+2 0 1 X+3 2 3 1 X X+2 X+3 1 1 X+3 1 1 X+2 X+3 0 1 X 0 2 0 X+1 0 0 X 0 0 0 0 0 2 0 2 2 0 0 0 2 2 0 0 0 2 2 0 2 0 0 2 2 X X+2 X+2 X+2 X X+2 X+2 X X+2 X+2 X X X X+2 X X X X+2 X+2 X X+2 2 X X X X X+2 X X+2 2 0 2 X+2 2 0 X 0 X+2 2 2 2 X 0 X+2 X+2 X 0 X X X X+2 2 2 2 2 X+2 X+2 0 X+2 2 0 X+2 X 0 X 0 0 0 X 0 0 0 2 2 2 0 2 0 2 X+2 X X X+2 X+2 X+2 X X+2 X X X+2 X+2 0 0 X+2 X+2 X+2 0 X+2 2 X+2 2 0 X+2 X+2 X+2 X+2 2 2 0 X X X 0 0 0 0 X 0 2 0 0 X+2 2 X+2 2 X X 0 2 0 2 X X X 2 X X 2 0 X 2 X X 0 2 X X X+2 0 X X 2 X+2 X 2 X 2 0 0 0 0 0 X 0 X+2 X+2 2 0 X X+2 2 X+2 X 0 X+2 0 X+2 2 X+2 X+2 X 2 2 2 X+2 0 X 0 X+2 X 0 X X 0 X+2 X+2 X+2 2 2 2 X 2 2 2 X X+2 0 2 X+2 0 X+2 X 2 2 0 0 2 X X+2 2 0 X 2 0 2 X+2 X+2 2 X+2 2 X+2 0 2 2 0 X X+2 X+2 X+2 0 2 X+2 X 0 2 2 0 X+2 X+2 X X+2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 0 2 2 0 2 2 2 2 0 0 2 2 0 0 0 2 0 2 0 2 2 2 2 0 2 2 2 2 2 0 0 2 2 2 2 0 0 2 0 0 0 2 0 2 0 2 2 2 0 0 2 0 2 0 0 0 2 0 2 0 2 0 0 0 generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+205x^84+68x^85+444x^86+180x^87+757x^88+244x^89+926x^90+360x^91+891x^92+352x^93+818x^94+364x^95+855x^96+228x^97+590x^98+176x^99+315x^100+68x^101+164x^102+8x^103+64x^104+42x^106+32x^108+22x^110+10x^112+2x^114+4x^116+1x^120+1x^124 The gray image is a code over GF(2) with n=372, k=13 and d=168. This code was found by Heurico 1.16 in 7.14 seconds.