The generator matrix

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

generates a code of length 42 over Z5[X]/(X^2) who´s minimum homogenous weight is 154.

Homogenous weight enumerator: w(x)=1x^0+740x^154+964x^155+1240x^156+480x^157+400x^158+3240x^159+3312x^160+3200x^161+1020x^162+540x^163+5440x^164+6472x^165+5360x^166+1260x^167+480x^168+7840x^169+9368x^170+6720x^171+1500x^172+820x^173+6340x^174+5388x^175+3480x^176+740x^177+260x^178+1400x^179+40x^180+32x^185+32x^190+16x^195

The gray image is a linear code over GF(5) with n=210, k=7 and d=154.
This code was found by Heurico 1.16 in 7.37 seconds.