Preserve LL corners : (y) U2 M' U' L' U M U' L
Mabye this one I got from using Ron's solver : L F2 U F' U' F2 L' (7,9)
All the rest of the seven movers I got from using all turns but E (7 is optimal):
FUM'U2MUF' (7,8)
FDS'D2S'DF' (7,8)
B2FU'M2UB2F' (7,10)
B2FD'S2DB2F' (7,10)
FM2F'U'FM2F' (7,9)
RU2BU'B'U2R' (7,9)
RS'R'U2RSR' (7,8)
RU2R'U2F'U'F (7,9)
SUF'U'S'UF (7,7)
SUF'D'M'DF (7,7)
F'M2UM2U'M2F (7,10)
F'M2DS2D'M2F (7,10)
S2F'U'S2US2F (7,10)
F'S2U'S2US2F (7,10)
S2F'D'M2DS2F (7,10)
F'S2D'M2DS2F (7,10)
LF2UF'U'F2L' (7,9)
S'B'R'S2RSB (7,8)
B'S'R'S2RSB (7,8)
M'FU'M2UF'M (7,8)
M'FD'S2DF'M (7,8)
S'RS'R2S'RS (7,8)
S'B'R'S2RBS (7,8)
B'S'R'S2RBS (7,8)
M2FU'M2UF'M2 (7,10)
M2FD'S2DF'M2 (7,10)
S2F'U'S2UFS2 (7,10)
F'S2U'S2UFS2 (7,10)
S2F'D'M2DFS2 (7,10)
F'S2D'M2DFS2 (7,10)
S2R'US'U'RS2 (7,9)
S2R'U'S'URS2 (7,9)
S2R'DMD'RS2 (7,9)
S2R'D'M'DRS2 (7,9)
Edit : Kinda like this one too:
SUF'U'S'UF (7,7)
Mod it to (y) M U L' U' M' U L