Best found linear codes for fixed ring in dependence of the size:

F4[X,F]/(X^2)
F4[X]/(X^2)
GR(16,4)
GR(64,4)
GR(81,9)
Z16
Z25
Z27
Z2[X]/(X^2)
Z2[X]/(X^3)
Z2[X]/(X^4)
Z3[X]/(X^2)
Z3[X]/(X^3)
Z4
Z49
Z4[X]/(X^2+2)
Z4[X]/(X^2+2,X^3)
Z4[X]/(X^2+2X+2)
Z4[X]/(X^3+2,X^4)
Z5[X]/(X^2)
Z8
Z9
Z9[X]/(X^2+3,X^3)
Z9[X]/(X^2+6,X^3)

Comparison of the Gray images for fixed q and size:

q = 2, size = 2^10
q = 2, size = 2^11
q = 2, size = 2^12
q = 2, size = 2^13
q = 2, size = 2^14
q = 2, size = 2^15
q = 2, size = 2^16
q = 2, size = 2^17
q = 2, size = 2^18
q = 2, size = 2^4
q = 2, size = 2^5
q = 2, size = 2^6
q = 2, size = 2^7
q = 2, size = 2^8
q = 2, size = 2^9
q = 3, size = 3^10
q = 3, size = 3^11
q = 3, size = 3^12
q = 3, size = 3^4
q = 3, size = 3^5
q = 3, size = 3^6
q = 3, size = 3^7
q = 3, size = 3^8
q = 3, size = 3^9
q = 4, size = 4^4
q = 4, size = 4^5
q = 4, size = 4^6
q = 4, size = 4^7
q = 4, size = 4^8
q = 4, size = 4^9
q = 5, size = 5^4
q = 5, size = 5^5
q = 5, size = 5^6
q = 5, size = 5^7
q = 5, size = 5^8
q = 7, size = 7^4
q = 7, size = 7^5
q = 7, size = 7^6
q = 8, size = 8^4
q = 8, size = 8^5
q = 8, size = 8^6
q = 9, size = 9^6