The generator matrix 1 0 0 1 1 1 X X+2 0 2 1 1 1 1 X 1 1 1 X 1 0 X+2 1 1 X 1 X 1 1 2 1 0 1 2 2 1 1 1 X+2 1 X+2 1 0 1 0 0 1 X+2 X 1 1 X X 1 2 2 X+2 1 1 1 X 1 1 1 1 1 1 1 X+2 1 1 1 X+2 1 1 1 0 2 2 X 1 0 1 0 0 1 1 1 1 1 X 2 0 X+1 X+3 X+2 1 X 1 1 X 1 1 X+2 X+2 1 X+3 X+2 X+1 X+2 1 3 0 2 1 X 0 0 3 0 3 1 1 1 2 1 1 X 1 1 2 3 2 1 X+1 1 X 1 0 2 X+3 1 X+3 0 X+1 3 1 X X+1 1 X+3 3 1 1 0 X X+2 1 1 1 1 0 0 0 1 X+1 X+3 0 1 X+1 X+2 1 X 3 X+1 X 1 1 X+2 X X 1 X+1 X+3 X+1 2 0 1 1 0 2 3 X 1 1 2 1 1 X+1 X+3 1 0 X 1 X+1 X+2 1 1 0 X 2 X+3 0 1 X+3 3 X+2 1 X+3 X+2 2 X+1 3 3 1 3 0 X+1 X+3 0 0 3 X+2 X X+2 X+3 1 1 X+3 X+3 X 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 0 2 0 2 2 2 0 2 0 2 0 2 0 0 2 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 0 0 2 2 2 2 2 0 0 0 2 2 0 2 0 0 2 2 0 0 0 2 2 2 0 0 0 2 2 2 0 2 0 0 2 2 0 0 0 2 0 0 2 2 0 2 0 0 2 0 2 2 2 0 0 2 2 2 2 2 0 0 0 0 2 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 0 2 0 2 2 0 2 2 0 2 2 0 2 0 0 2 2 2 2 0 2 2 2 0 2 0 0 2 2 2 0 2 0 0 2 2 2 0 2 0 0 2 0 0 0 0 2 2 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 2 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 2 2 0 2 2 0 2 2 2 0 2 0 0 0 0 2 0 2 0 0 0 0 2 0 2 2 2 2 0 0 2 0 2 2 2 0 2 2 2 2 2 0 2 2 2 0 0 0 2 2 0 0 2 2 2 2 0 0 2 0 2 0 0 2 0 generates a code of length 81 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 73. Homogenous weight enumerator: w(x)=1x^0+150x^73+277x^74+428x^75+490x^76+642x^77+705x^78+562x^79+657x^80+666x^81+734x^82+580x^83+478x^84+498x^85+402x^86+284x^87+184x^88+192x^89+89x^90+60x^91+40x^92+20x^93+29x^94+2x^95+6x^96+8x^97+4x^98+4x^99 The gray image is a code over GF(2) with n=324, k=13 and d=146. This code was found by Heurico 1.16 in 14.2 seconds.