The generator matrix 1 0 1 1 1 X^2+X 1 X^2+2 1 1 1 X+2 1 1 2 1 X^2+X+2 1 1 X^2 1 X 1 1 1 1 1 X^2+2 1 1 X^2+X 1 1 X^2+X+2 1 0 1 1 1 X 1 X 1 2 1 1 1 1 X^2 1 1 1 1 1 1 1 1 1 1 1 1 0 1 X 1 1 X 1 1 1 1 1 1 X 1 1 1 1 1 1 1 0 1 1 X^2+2 1 1 1 1 X+2 1 X+2 0 0 1 X+1 X^2+X+2 X^2+3 1 X 1 X^2+X+1 2 1 1 X^2 X+1 1 X^2+1 1 X^2+2 X^2+X+3 1 3 1 0 X^2+2 X^2+X X+2 X+1 1 X+2 X^2+1 1 X^2+X X+3 1 3 1 X^2+X 2 1 1 X^2+X+3 1 X^2+2 1 X^2+3 X+2 X^2+2 X^2+X+1 1 0 X^2+X+2 X^2+X 0 0 X+2 X^2 X+2 X^2+2 X X+2 0 1 X+1 0 X^2+X X^2+1 1 X^2+X X^2+2 X^2+2 X^2+X+2 X^2+X 0 X^2+2 X+2 2 X^2+X+1 X^2+X+1 X^2+X+1 X^2+X+1 X^2+X+2 1 X^2+1 3 1 X+2 X^2+X+2 2 X^2+X+1 1 2 1 1 0 0 X^2 X^2 X^2+2 0 X^2+2 0 X^2 X^2 X^2+2 0 X^2+2 2 X^2 2 X^2 0 2 X^2 2 X^2 0 0 0 2 2 0 0 2 0 0 X^2 X^2 2 0 X^2+2 X^2+2 X^2 X^2+2 2 0 0 X^2 X^2+2 X^2 X^2 X^2+2 X^2+2 X^2+2 X^2 X^2 0 X^2 0 X^2 2 X^2+2 X^2+2 X^2+2 0 X^2 X^2 2 2 X^2+2 X^2 2 0 2 X^2 X^2+2 X^2+2 2 0 X^2+2 X^2 2 X^2+2 0 2 2 0 2 0 X^2 X^2+2 2 0 2 X^2 X^2+2 2 0 0 0 2 0 2 2 2 2 0 2 0 0 2 0 2 0 0 0 2 0 2 2 2 0 2 0 0 2 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 0 2 0 2 0 2 0 0 2 2 2 2 2 2 0 0 0 0 2 0 0 2 0 0 0 0 2 2 0 2 0 2 0 0 2 2 2 2 0 0 2 2 0 0 2 0 2 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 0 2 2 2 0 0 2 2 2 0 0 0 2 2 0 0 0 2 2 0 0 0 0 2 0 2 2 2 2 2 0 2 0 2 0 0 0 2 0 2 2 0 2 2 2 0 2 2 0 2 0 2 0 2 0 2 2 2 0 0 0 2 2 2 0 2 2 2 2 0 0 0 2 0 0 2 0 0 2 generates a code of length 93 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+197x^88+284x^89+528x^90+392x^91+559x^92+344x^93+476x^94+392x^95+428x^96+196x^97+190x^98+48x^99+40x^100+8x^101+4x^102+3x^104+2x^112+2x^114+1x^132+1x^136 The gray image is a code over GF(2) with n=744, k=12 and d=352. This code was found by Heurico 1.16 in 1.26 seconds.