The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 0 1 1 1 X+2 1 X+2 1 1 0 1 1 2 1 X+2 1 1 X 1 1 1 1 1 0 1 X+2 1 0 1 X+2 X+2 1 0 1 2 1 1 X 1 0 X+2 1 X X X 0 1 1 X+2 1 1 1 1 1 1 0 1 1 1 0 1 1 2 1 1 1 1 1 1 X+2 0 1 1 1 2 1 1 1 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 X+1 1 0 X+2 3 1 X 1 X+1 3 1 0 2 1 X+1 1 X+2 3 1 0 3 X+2 X 0 1 X+1 1 X+3 1 X+2 1 1 X+2 1 0 1 2 0 1 X+2 1 1 3 1 1 1 1 2 X+2 1 0 2 X X+1 3 3 1 0 X+2 2 1 2 1 1 X+1 X+3 3 0 3 1 1 1 1 X+3 3 1 X+1 1 2 X+2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 2 0 0 2 0 0 2 2 0 0 2 2 2 0 0 2 2 2 0 2 2 2 0 0 0 2 2 2 0 2 0 2 2 2 2 2 2 2 0 2 0 0 2 0 2 2 0 2 2 0 2 0 2 2 0 2 0 0 2 2 2 2 2 0 2 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 0 0 2 2 2 0 0 0 2 0 2 2 0 0 0 0 0 2 2 0 0 0 2 0 0 2 2 2 0 0 2 2 2 0 0 2 2 2 0 0 0 2 0 0 0 0 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 0 2 2 0 0 2 0 2 0 2 0 2 2 0 0 2 2 0 2 2 2 2 0 0 0 2 0 2 2 0 0 0 0 2 2 0 2 2 2 2 0 2 0 0 0 0 2 2 0 0 2 2 0 2 2 0 2 2 0 0 2 2 0 0 2 0 2 0 2 0 0 0 2 2 0 0 2 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 2 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 0 0 2 2 2 0 0 2 0 0 0 2 0 2 2 0 0 2 0 0 0 0 2 0 2 2 0 2 2 0 0 2 0 2 2 0 0 2 2 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 2 0 2 0 0 0 0 2 0 0 2 2 2 2 2 2 2 2 0 2 0 2 0 2 0 0 0 2 2 2 2 2 0 2 0 0 0 0 2 0 0 2 2 2 2 2 0 0 2 0 2 2 2 2 0 2 0 0 2 0 2 2 0 0 0 0 2 2 0 0 2 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 0 2 2 0 0 2 2 0 2 0 0 0 0 2 2 0 2 2 2 2 0 2 0 0 2 2 2 2 0 0 0 0 2 2 2 0 0 2 2 0 0 0 2 0 2 2 0 2 2 2 0 2 0 0 0 0 0 0 2 2 0 2 0 2 2 2 2 0 0 0 2 2 0 0 2 2 generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+208x^84+360x^86+613x^88+664x^90+456x^92+664x^94+568x^96+360x^98+167x^100+15x^104+10x^108+7x^116+2x^120+1x^128 The gray image is a code over GF(2) with n=368, k=12 and d=168. This code was found by Heurico 1.16 in 65.5 seconds.