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 X X 2 2 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 0 0 0 0 0 2 0 2 2 2 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 2 2 0 0 0 0 0 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 2 0 0 2 0 2 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 0 2 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 0 2 2 2 2 0 2 2 0 2 2 2 2 0 2 0 2 2 0 0 2 2 2 2 0 2 2 0 2 0 2 2 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 2 0 2 0 0 2 2 2 0 0 0 0 0 2 2 0 2 0 2 2 0 0 0 2 0 2 0 2 0 0 0 2 0 2 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 2 0 0 0 0 2 0 2 0 2 2 2 2 0 2 0 0 0 2 0 0 0 2 2 0 2 2 2 0 2 2 0 0 2 generates a code of length 87 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+14x^81+21x^82+61x^84+54x^85+115x^86+116x^88+42x^89+46x^90+10x^92+18x^93+4x^94+3x^96+5x^98+1x^100+1x^150 The gray image is a code over GF(2) with n=348, k=9 and d=162. This code was found by Heurico 1.16 in 18.2 seconds.