The generator matrix 1 0 1 1 1 X+2 1 1 0 1 X+2 1 1 1 0 1 X+2 1 2 1 1 X+2 1 1 X+2 1 1 1 1 0 X+2 1 1 1 0 1 1 0 1 X 1 1 1 1 0 X+2 1 2 X+2 2 1 X 1 1 X 2 X X+2 0 X 0 0 0 X+2 X+2 1 1 2 2 X 1 1 1 1 1 0 X 2 2 0 1 1 1 2 X 1 1 1 1 X+2 0 1 X+1 X+2 1 1 0 X+1 1 3 1 X+2 0 X+1 1 X+2 1 3 1 0 X+1 1 X+2 3 1 0 X+1 X 3 1 1 2 3 X+3 1 X+2 1 1 0 1 X+2 X+1 1 2 1 1 X+3 1 1 1 X+2 1 0 3 1 1 1 1 1 1 1 1 1 1 1 X 3 1 1 X+2 0 X+1 X 0 X+1 1 1 1 1 1 2 X+3 3 1 2 X+3 X+2 0 X+1 1 0 0 2 0 0 0 0 0 2 2 2 0 2 0 0 2 2 0 2 0 0 0 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 2 2 2 0 2 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 0 2 0 0 2 0 2 0 2 2 2 0 0 0 0 0 2 2 2 0 2 2 2 2 2 0 2 2 2 0 0 0 0 2 2 2 2 0 2 2 2 2 2 0 0 2 2 2 2 0 0 2 2 2 0 2 2 0 0 2 0 0 0 0 2 0 0 2 2 0 2 0 2 2 2 2 0 2 0 2 0 0 0 2 0 0 2 0 2 0 0 0 2 0 2 2 0 2 2 0 2 2 0 0 2 0 0 0 2 2 2 2 0 2 0 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 2 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 2 2 2 0 2 0 2 2 2 0 0 2 0 0 0 0 2 2 2 0 2 2 2 0 2 0 0 2 0 0 0 0 0 0 2 2 2 0 2 0 2 2 2 2 0 2 2 0 0 2 0 2 2 0 2 2 2 2 2 2 2 2 2 2 0 2 2 0 0 2 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 0 2 2 0 2 2 0 0 0 2 0 2 2 0 2 2 0 2 0 0 0 2 0 2 2 2 2 0 0 0 2 0 2 2 0 2 0 0 0 2 2 2 0 0 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+295x^84+256x^86+367x^88+240x^90+375x^92+256x^94+213x^96+16x^98+18x^100+1x^104+5x^108+3x^116+2x^128 The gray image is a code over GF(2) with n=360, k=11 and d=168. This code was found by Heurico 1.16 in 69.1 seconds.