The generator matrix 1 0 1 1 1 X^2+X 1 X^2+2 1 1 1 X+2 1 1 2 1 X^2+X+2 1 1 X^2 1 X 1 1 1 1 1 1 0 1 X+2 1 X^2+X 1 1 X+2 0 1 1 1 X^2+2 1 X^2+X 1 1 X^2+2 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 X^2 X+2 2 1 X 1 1 1 1 X^2 X^2+X X^2+X+2 1 1 1 1 X+2 1 2 2 0 X X 1 1 1 X^2 1 1 1 0 1 X+1 X^2+X+2 X^2+3 1 X 1 X^2+X+1 2 1 1 X^2 X+1 1 X^2+1 1 X^2+2 X^2+X+3 1 3 1 0 X^2+2 X^2+X X+2 X^2+X X+1 1 X^2+1 1 X+3 1 3 X 1 1 X^2+1 2 X^2+X+3 1 X^2+X+2 1 3 X^2+X+3 1 X^2 2 X+2 X^2+X+2 X+2 X^2+2 X X^2+2 X+2 X^2+X 2 2 0 X+2 0 X+2 X^2+2 X^2+2 X^2+X+2 X^2+2 X+2 X+1 X^2+3 1 1 X X^2+X+3 X+2 X^2+3 X^2+1 1 2 1 1 1 X+1 1 X^2+X+1 0 1 X^2+2 X 1 1 1 1 3 2 0 1 X+3 X^2+X+1 X+3 0 0 X^2 X^2 X^2+2 0 X^2+2 0 X^2 X^2 X^2+2 0 X^2+2 2 X^2 2 X^2 0 2 X^2 2 X^2 0 0 0 2 2 0 2 0 2 X^2+2 X^2+2 X^2 X^2 X^2+2 X^2+2 X^2 X^2+2 0 2 X^2+2 2 0 X^2+2 X^2+2 X^2 2 0 0 2 2 2 X^2+2 X^2 X^2+2 X^2 2 2 0 2 X^2 X^2 X^2+2 X^2+2 2 0 0 X^2 X^2 0 X^2 2 0 2 0 X^2 2 X^2 X^2 X^2 0 X^2 X^2+2 X^2 0 2 0 2 X^2 X^2 2 2 X^2 X^2+2 0 X^2 X^2+2 2 0 0 0 2 0 2 2 2 2 0 2 0 0 2 0 2 0 0 0 2 0 2 2 2 0 0 0 2 0 2 0 0 0 2 2 2 0 0 0 0 2 2 2 0 2 2 0 2 2 0 2 0 2 2 0 0 2 2 0 2 0 0 2 2 0 2 0 0 2 0 2 2 2 2 2 0 0 0 0 2 2 0 0 0 0 2 2 2 0 2 0 2 2 2 0 2 2 2 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 0 2 2 2 0 0 2 2 2 0 0 2 0 2 2 0 0 2 0 2 0 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 2 2 0 2 0 2 0 2 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 2 2 generates a code of length 99 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 94. Homogenous weight enumerator: w(x)=1x^0+174x^94+392x^95+461x^96+532x^97+375x^98+440x^99+373x^100+408x^101+306x^102+312x^103+172x^104+84x^105+39x^106+8x^107+8x^108+3x^112+2x^116+2x^118+2x^124+1x^132+1x^136 The gray image is a code over GF(2) with n=792, k=12 and d=376. This code was found by Heurico 1.16 in 1.55 seconds.