The generator matrix 1 0 1 1 1 0 X 1 1 1 1 X+2 1 1 0 1 1 X 1 1 2 1 X+2 1 1 1 1 1 0 1 1 X 1 1 X 2 1 1 1 1 0 1 X 1 1 0 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X X+2 X+2 X+2 X+2 X+2 1 X 1 1 X+2 1 1 1 0 0 1 1 1 2 X 0 0 1 1 X+2 X+3 1 1 2 X+1 X 3 1 X+2 X+3 1 2 X+1 1 X 1 1 3 1 X+2 2 X 0 X+1 1 2 X+1 1 X 1 1 1 1 0 0 X+3 1 X+3 1 X 3 1 3 1 0 X 0 0 0 0 X X 2 X X+2 X X+2 0 2 0 X+2 X+2 X+2 X+1 3 X+1 1 1 1 1 1 1 3 X 1 1 1 3 X 3 X 1 1 X+3 X 1 1 0 0 0 X 0 X+2 X+2 X X 2 X+2 0 0 2 X 2 X 2 X X+2 X+2 X+2 0 2 0 0 2 0 0 0 X+2 X+2 X+2 X 2 2 X X+2 2 X+2 X 2 0 X+2 X X X 2 0 2 2 2 X X 0 2 2 0 X X+2 X X+2 0 X X 0 2 0 0 0 X+2 X+2 2 X+2 2 X 0 2 0 X 2 X+2 X X X 0 2 0 X+2 0 2 X+2 X 0 0 0 2 0 0 2 0 2 2 0 0 0 2 2 2 2 2 0 2 0 0 2 2 2 0 0 2 2 2 0 0 2 0 0 2 2 2 0 2 0 2 0 0 0 2 0 2 2 0 0 2 2 0 2 0 2 0 2 2 0 2 0 0 2 2 2 0 2 2 2 0 2 2 0 0 2 0 2 2 0 0 0 2 0 2 0 0 2 2 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 0 2 2 2 0 0 2 2 0 0 2 0 0 2 2 2 2 0 0 0 0 2 2 0 2 2 2 0 0 2 0 2 0 2 0 0 2 0 0 0 2 2 0 2 2 2 2 2 0 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 2 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 0 0 0 0 2 0 0 0 2 2 0 2 2 2 2 0 0 0 2 2 2 2 0 2 2 0 2 0 0 2 0 0 0 2 2 0 2 2 0 2 2 0 2 2 2 0 0 2 0 2 0 2 2 2 0 0 2 0 2 0 0 0 2 2 2 0 2 0 2 2 0 2 2 0 2 2 2 2 0 2 2 0 0 2 2 0 2 2 0 2 2 generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+233x^86+414x^88+288x^90+256x^92+264x^94+373x^96+152x^98+34x^100+15x^102+4x^104+4x^108+6x^114+2x^122+2x^124 The gray image is a code over GF(2) with n=368, k=11 and d=172. This code was found by Heurico 1.16 in 1.86 seconds.