PLT OF AN ATX BEECH; BE18; 'TAIL DRAGGER' TWIN; GND LOOPED; AND RAN OFF THE TXWY; WHILE TURNING OFF THE RWY INTO A TXWY AT TOO HIGH OF SPD. HE WAS ATTEMPTING TO TURN OFF QUICKLY IN ORDER TO COMPLY WITH TWR'S REQUEST TO EXPEDITE LEAVING THE RWY DUE TFC ON FINAL.

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I WAS CLRED FOR THE VISUAL APCH RWY 29R AT MINNEAPOLIS INTL ARPT. I USED THE ILS TO FLY THE APCH TO THE RWY JUST FOR THE PRACTICE OF IT. AFTER LNDG WHILE STILL ON THE MAIN GEAR THE CTLR ASKED ME TO MAKE THE NEXT L TURN AND CONTACT GND. I BROUGHT THE TAIL DOWN AND MADE THE TURN WHICH WAS MORE THAN A 90 DEG TURN. WHEN I WENT AROUND THE CORNER I REALIZED I HAD TOO MUCH MOMENTUM AND WAS NOT GOING TO BE ABLE TO STOP THE TURN EVEN WITH HVY R BRAKING. I WENT OFF THE EDGE OF THE TXWY INTO THE GRASS WHERE I LOCKED THE L BRAKE TO SPIN THE TAIL COMPLETELY AROUND AND CAME TO A STOP FACING THE TXWY. (IE; 360 DEGS FROM ORIGINAL TURN.) ATC ASKED IF I NEEDED ASSISTANCE AND I REPLIED NO AND TAXIED BACK ON THE TXWY AND CONTACTED GND. I INFORMED THEM THAT I MAY HAVE HIT A TAXI LIGHT BUT DID NOT KNOW AND TAXIED TO THE RAMP. I CHK ACFT FOR ANY DAMAGE PAYING PARTICULAR ATTN TO PROPS AND FLAPS FOR DINGS OR DENTS BUT FOUND NONE. OF COURSE MY PLT EGO WAS PRETTY SORE. I HAVE TALKED TO MANY BE18 PLTS AND IT'S NOT THAT UNUSUAL TO LET THE AIRPLANE SPIN ON YOU (GND LOOP) RIGHT WHEN YOU ARE EXITING THE RWY IF YOU HAVE TOO MUCH SPD OR LET A HIGH RATE OF TURN DEVELOP. MY MISTAKE WAS IN THINKING I COULD MAKE THAT TXWY AND NOT TAKING THE NEXT DOWN THE LINE. AT ANY RATE; IN THE FUTURE I ONLY MAKE TURNS AT A SLOW TAXI SPD. THIS WAS EMBARRASSING BUT A GOOD LESSON FOR ME IN THE TWIN BEECH. I WAS FEELING A LITTLE OVER-CONFIDENT BUT NOW I PAY COMPLETE ATTN TO THE ACFT AT ALL TIMES IN FLT AND ON THE GND. ONE MORE POINT; I KNEW THERE WAS AN ACFT ON FINAL BEHIND ME SO I THOUGHT I WAS HELPING THE CTLR BY MAKING THIS PARTICULAR TXWY. WELL IN THE FUTURE; I ONLY WORRY ABOUT MY ACFT AND NOT WHAT THE CTLR IS DOING.