The generator matrix 1 0 1 1 1 X+2 1 1 X+2 1 1 0 1 1 X X+2 1 1 0 1 1 2 1 1 1 1 X+2 0 1 1 X 1 1 X+2 1 1 1 X+2 1 1 0 X+2 1 1 1 X X X 1 1 0 1 1 2 0 0 1 X+2 1 1 1 X+2 1 1 1 1 1 1 1 1 1 X+2 1 0 1 0 1 2 2 1 1 1 1 0 1 1 X X+2 1 1 X 0 1 1 0 X+3 1 2 X+3 1 X 1 1 X X+1 1 1 1 X+2 1 3 X+2 1 X+3 0 X 3 1 1 X+3 X 1 X 3 1 X+3 2 2 1 3 1 1 1 X+2 X+1 3 1 1 1 X 3 1 3 X 1 1 1 X+3 1 X+1 3 0 1 X+1 3 0 X 0 3 1 2 0 1 0 1 X+3 1 0 1 1 X 3 X+3 X+3 X 1 X+1 1 1 X+2 X+3 1 0 0 X 0 X+2 0 X 2 X 2 0 X+2 X 2 0 X+2 X X 0 2 0 X+2 X X+2 X 2 X+2 X 0 X 0 0 0 2 X X+2 0 0 2 2 X+2 X+2 0 2 0 X+2 0 X+2 X+2 X+2 X+2 X 0 2 X 2 X 2 X X+2 2 X 2 0 X X 2 X 2 X X+2 0 0 X X+2 0 X 2 0 X+2 X 2 X 2 0 X X X 2 X+2 2 0 0 0 X 0 0 0 X X X+2 X+2 X 2 0 X+2 2 X+2 X X 2 0 2 X+2 X+2 2 X X 2 X X+2 X X+2 2 0 2 0 X X+2 2 X+2 0 2 0 X X X+2 2 X X+2 X+2 0 X 2 2 X X 0 X+2 0 X+2 0 0 X+2 0 0 0 X 2 X+2 0 X 2 X+2 0 X+2 X+2 X+2 2 X+2 0 2 0 2 X+2 0 X 2 0 X X+2 X+2 0 0 0 0 2 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 2 2 2 2 0 0 0 2 2 0 2 2 0 2 0 2 2 0 2 2 0 2 2 0 2 2 2 0 2 0 2 2 0 2 2 2 0 2 2 0 2 2 0 2 0 2 2 0 2 0 0 0 2 0 0 2 0 0 0 0 0 2 2 2 0 2 0 2 0 0 2 0 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 2 0 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 0 0 0 2 2 0 0 0 2 0 0 0 0 2 0 2 2 0 0 0 0 0 2 0 2 0 2 0 0 2 2 0 0 2 2 2 2 0 2 generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+320x^84+552x^86+692x^88+534x^90+646x^92+528x^94+516x^96+154x^98+74x^100+14x^102+36x^104+8x^106+14x^108+2x^110+2x^112+2x^116+1x^128 The gray image is a code over GF(2) with n=364, k=12 and d=168. This code was found by Heurico 1.16 in 52.7 seconds.