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  X  1  1  1  1  1  1  1  1  1  1  X  1  1  X  1  X  1  1  1  1  1  1  X  1  1
 0  X  0  0  0  0  0  0  0  0  0  0 2X 3X  X  X 2X 3X 3X  X  X 3X 4X 4X 2X 3X 3X 3X 2X  0 2X  X 4X 2X 3X 4X 4X 3X 2X 3X  X 2X 3X 2X 3X 3X  X 3X 2X 4X 3X  X 2X 2X  X  X  X 3X 2X 2X  X 4X  0  X  0  0
 0  0  X  0  0  0  X  0  X  X  X 2X  X  0 3X 4X  0 4X  X 2X 4X 3X  0  0  X 4X 2X 2X  X 4X 4X 3X  X 3X 3X  0 3X  X  X  X  0 3X  X 4X 2X  0 3X  0 2X 2X  X 4X 4X 3X  X 4X 4X  0 3X 4X  0 4X 3X 2X  X  0
 0  0  0  X  0  0 3X 2X 4X 3X 4X  0 2X 4X  X  X 2X 4X  X 4X 4X  X 3X 3X  0 4X 2X  0  0 3X 2X 3X  0  0  X  0 2X 2X  X  X  X 2X 4X  X 4X 3X 2X 4X 3X 3X  X  X  0  0 3X 2X 2X 3X 3X 3X 3X  X 2X 3X  X  0
 0  0  0  0  X  0 3X 4X 4X 4X 2X 4X 3X  X 3X  X  0 4X 3X  0 4X 4X 4X  X  0 3X  0  X 3X  X  0 4X 2X 3X  0 2X 4X  X 4X  X  X  0 2X  X 2X 2X  0  0 2X 4X 2X 4X 3X  0  X  0 4X  0 4X  0  X 2X 4X 3X 4X  0
 0  0  0  0  0  X 3X 3X 2X  X  0  X 3X 2X  0  X 4X 3X 2X 4X  X 3X  0 4X  X 2X  X  0 2X 2X  0 4X  0 2X 2X 4X 3X  0  0  X 3X 2X 2X  X 4X 2X  X  X 4X  X  X 2X  X  X  X  0 2X 2X 4X  0 2X  X 4X 4X 4X 2X

generates a code of length 66 over Z5[X]/(X^2) who´s minimum homogenous weight is 230.

Homogenous weight enumerator: w(x)=1x^0+140x^230+544x^235+980x^240+20x^244+1172x^245+400x^249+1288x^250+3200x^254+1544x^255+12800x^259+1568x^260+25600x^264+1724x^265+20480x^269+1544x^270+1700x^275+1272x^280+992x^285+656x^290+304x^295+136x^300+44x^305+16x^310

The gray image is a linear code over GF(5) with n=330, k=7 and d=230.
This code was found by Heurico 1.16 in 26.5 seconds.