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 X X X X X X 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 X 2 X 2 X 0 2 0 0 0 0 0 0 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 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 0 2 0 2 2 2 0 0 0 0 2 2 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 2 0 0 2 2 0 2 2 0 0 0 0 0 0 2 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 0 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 2 0 2 2 2 0 2 2 0 2 2 2 2 0 2 0 2 2 0 0 2 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 0 0 2 2 2 2 0 0 0 2 2 2 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 0 2 2 2 0 2 2 0 2 0 0 0 2 0 0 0 0 2 0 2 2 2 2 0 0 0 0 2 2 0 2 0 2 2 0 0 0 2 2 0 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 2 0 0 2 0 2 2 2 0 0 2 0 2 2 2 0 0 2 0 2 2 0 0 2 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 2 2 0 0 0 2 generates a code of length 89 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+51x^84+64x^86+165x^88+112x^90+72x^92+16x^94+25x^96+5x^100+1x^152 The gray image is a code over GF(2) with n=356, k=9 and d=168. This code was found by Heurico 1.16 in 18.4 seconds.