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 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 1 X 1 1 1 1 X 1 X 1 X 1 1 1 X 1 1 1 0 1 1 1 X 1 X 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 X 3X 4X 3X 2X 3X 3X X 2X 4X 4X X X 2X X X 2X 2X 2X 4X X 0 3X 4X 4X X 3X 3X X 3X 0 2X 3X 2X 0 2X 3X 0 4X 3X 3X 3X 3X 4X 4X 3X 0 4X 2X 2X X X X 0 X X 0 3X 3X 2X 2X X 4X X 4X 3X 4X 3X 2X 3X 2X X 0 X 0 0 0 X 4X 2X 0 0 0 X 0 0 0 0 0 X 2X X X 0 2X 0 3X 0 4X 3X 2X 2X 3X 2X 4X 3X 3X 4X 3X 0 4X 3X 4X 0 X X X X X X 4X X 4X 3X 0 4X X 3X 2X 3X X X 3X 4X 0 2X 0 X X 0 4X 3X 0 2X 3X 2X 3X 3X 2X 0 2X 4X 4X 3X 3X 3X 3X 4X X 2X X 4X X X 0 4X 2X 3X 2X 3X 0 0 4X 0 0 0 0 X 0 0 X X 3X 0 4X X 3X X X 0 X 0 X 2X 4X 2X 0 3X X 3X 2X X 4X X 2X 3X 4X 2X X 0 4X 4X 4X 4X X X 4X 2X 0 2X 2X 4X 2X 0 0 3X 4X 3X 0 2X X 3X 0 0 X 2X 3X X 4X X 4X 4X 3X 4X 4X 3X 3X 3X 0 X 4X X 2X 3X X 0 0 0 2X 0 3X 3X X X 0 X 0 0 0 0 0 X 0 3X 2X 3X X 4X 2X 3X 0 2X X 4X 4X 4X 3X 0 X 0 X X 0 X X X 2X 2X 0 0 X 3X 3X 3X X 3X 4X X X 3X 3X 3X 4X X 4X 0 X 2X 4X 2X 4X 2X 4X 0 3X X 0 3X 0 X X 4X X 3X 3X 0 0 3X 4X 2X 2X 4X 4X 3X 4X 0 X X 2X 0 0 X 2X 0 3X 0 0 X 3X 2X 0 0 0 0 0 X 3X X 4X 4X 3X 4X 0 X 4X 3X 3X 3X 4X 0 3X 3X 2X 3X 0 X 3X X X 0 3X 4X 3X 4X 2X 3X 2X X X X 3X X 3X 2X X 4X 3X 2X 0 X X 3X 3X X 2X X 0 2X 2X X 4X 3X 3X 2X X X 3X 3X X 3X 4X X 2X 4X 2X 3X X 0 2X 0 2X 0 0 3X 3X 2X 3X X 2X 4X 2X 0 2X generates a code of length 93 over Z5[X]/(X^2) who´s minimum homogenous weight is 335. Homogenous weight enumerator: w(x)=1x^0+140x^335+540x^340+1016x^345+140x^348+1124x^350+480x^353+1272x^355+2760x^358+1312x^360+6600x^363+1388x^365+14000x^368+1316x^370+18160x^373+1424x^375+15120x^378+1312x^380+5240x^383+1176x^385+1100x^390+828x^395+744x^400+424x^405+308x^410+112x^415+60x^420+12x^425+12x^430+4x^435 The gray image is a linear code over GF(5) with n=465, k=7 and d=335. This code was found by Heurico 1.16 in 40 seconds.