The generator matrix 1 0 1 1 X^2 1 1 1 X^2+X 1 1 0 X+2 1 1 1 1 X^2 2 1 1 1 1 2 1 1 X 1 1 X^2+X 1 X 1 1 1 1 X^2+X 1 1 1 X^2+X X+2 1 1 X^2 1 1 1 1 1 X^2 X^2 1 1 1 1 1 X^2 1 1 1 1 1 1 1 0 X+2 1 1 X 1 1 1 1 1 X^2 1 1 1 1 X^2+X+2 0 1 1 1 1 2 1 1 X^2+X X X^2+X 0 1 1 X^2+X 1 X^2+X+1 X^2 3 1 X+1 X^2+X+2 1 1 0 X^2+3 2 3 1 1 X X+1 X^2+X X+3 1 X^2 X^2+1 1 X^2+X+3 X^2+2 1 X^2+1 1 2 X^2+X+2 X+1 X 1 X^2+X+1 X^2+1 X^2+X+2 1 1 X^2+X+1 X^2 1 3 X^2+X+3 X^2+X+2 1 X+2 1 X 0 X^2+2 X^2+1 X+1 3 1 X X^2+2 X X^2+X X^2+3 X^2+1 X^2+2 X 1 X^2+X+2 X^2+3 X^2+X+2 X+1 X^2+1 0 X+3 X+1 0 X+2 0 X^2+X X^2+3 1 1 X^2+2 2 0 X^2+3 1 X^2+3 X+1 1 1 1 0 0 X 0 X+2 X X+2 2 0 2 X+2 X^2+X+2 X^2 X^2+2 X^2+2 X^2+X+2 X^2+X+2 X^2+X X+2 X^2 X^2+X X^2+X X^2 X^2 X^2 X^2+X X X^2+2 X^2+X X^2+2 X X X+2 X+2 X^2+X+2 2 X^2+X+2 X 0 X^2+X+2 X^2+X 2 X^2+2 X^2 2 0 2 X^2 X^2 0 X^2 X^2+X+2 2 2 X^2 X X^2+X+2 2 X+2 X^2+X X^2+X+2 0 X^2+X X^2 X+2 X+2 X^2 X^2+2 X X^2+2 X X+2 X^2+X 2 0 X X^2+X+2 X^2 X^2 2 X X^2+X 2 X^2+2 X 2 X^2+X X^2 X+2 X^2 0 2 0 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 0 0 2 2 2 0 0 0 2 2 0 2 0 2 2 2 0 2 0 2 0 0 2 2 2 0 0 0 0 0 2 2 0 0 2 2 0 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 0 2 2 0 0 2 0 2 2 2 0 0 2 0 0 2 2 2 2 0 0 0 0 0 generates a code of length 92 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+570x^88+328x^89+726x^90+272x^91+590x^92+328x^93+548x^94+128x^95+318x^96+72x^97+134x^98+16x^99+18x^100+8x^101+16x^102+12x^104+8x^108+2x^112+1x^128 The gray image is a code over GF(2) with n=736, k=12 and d=352. This code was found by Heurico 1.16 in 47 seconds.