The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X^2 1 1 1 1 1 X^2 1 0 X^2+2 0 X^2 0 0 X^2 X^2+2 0 0 X^2 X^2+2 2 0 X^2 X^2+2 2 X^2+2 X^2+2 2 2 X^2 0 X^2 X^2 0 X^2 2 X^2 X^2 2 0 X^2+2 0 2 X^2 X^2 0 X^2 0 2 X^2 2 0 X^2+2 X^2+2 X^2+2 2 2 2 X^2+2 X^2+2 X^2 X^2 X^2 0 2 2 0 X^2+2 X^2+2 0 2 X^2 X^2+2 0 2 2 0 X^2+2 X^2+2 X^2+2 0 X^2+2 0 2 X^2 X^2+2 X^2+2 2 2 X^2+2 X^2+2 0 0 X^2+2 0 X^2+2 0 2 0 0 X^2+2 X^2 0 X^2+2 X^2 0 X^2+2 0 X^2 0 X^2 2 0 X^2 X^2 2 X^2+2 0 X^2 X^2 2 0 X^2 0 2 X^2+2 X^2+2 0 0 X^2 2 2 X^2 2 X^2 2 X^2+2 X^2 2 0 2 X^2 X^2+2 X^2+2 0 X^2 X^2 X^2+2 0 X^2+2 X^2+2 0 X^2+2 2 2 X^2 X^2+2 0 X^2 0 2 2 0 X^2 0 0 2 2 X^2+2 X^2 0 2 X^2+2 X^2 X^2 X^2+2 2 0 X^2+2 X^2 2 X^2+2 0 X^2 2 X^2 X^2+2 X^2+2 0 0 0 2 0 0 2 0 0 2 0 2 2 2 2 0 2 2 0 2 0 0 2 2 2 0 0 2 2 0 0 2 0 2 2 2 0 0 0 2 2 2 0 0 0 2 0 2 0 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 2 2 0 0 0 2 2 2 0 2 0 0 2 0 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 2 0 2 2 2 2 0 2 2 0 0 2 0 0 2 0 2 0 2 2 2 2 0 0 0 2 0 2 0 0 2 2 2 2 2 2 0 2 2 0 0 2 0 0 0 2 0 0 0 2 2 0 2 2 0 2 0 0 2 0 0 0 2 2 0 2 0 2 0 2 2 0 2 0 0 2 2 2 2 2 0 2 2 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 2 0 2 0 0 0 2 2 2 0 2 2 2 2 2 0 2 0 0 0 0 0 2 2 0 2 2 2 0 0 0 2 0 2 2 2 2 2 0 0 2 0 0 0 2 2 0 0 0 0 2 0 2 2 2 2 generates a code of length 90 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+50x^84+106x^86+165x^88+384x^89+648x^90+384x^91+173x^92+66x^94+57x^96+12x^98+1x^100+1x^176 The gray image is a code over GF(2) with n=720, k=11 and d=336. This code was found by Heurico 1.16 in 1 seconds.