Prime p₀= 1118045772632076581 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 10 2 10 2 124 2 (?)
a_n: 0 2 126 128 138 140 150 152 276 278
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 278
Found by: crashtech
db: batch=76, k=10, 2 124 2 10 2

STPT(10)	1118044825039151489	0 2 18 20 30 32 42 44 60 62	-947592925092
STPT(10)	1118044985384432627	0 2 30 32 42 44 54 56 84 86	-787247643954
SPT(16)	1118045111282411701	0 6 16 42 88 96 100 126 202 228 232 240 286 312 322 328	-661349664880
SPT(16)	1118045439852421907	0 2 12 56 72 102 126 182 210 266 290 320 336 380 390 392	-332779654674
SPT(16)	1118045535316180531	0 42 48 58 90 102 112 118 180 186 196 208 240 250 256 298	-237315896050
SPT(16)	1118045655134775947	0 20 42 56 66 74 110 132 164 186 222 230 240 254 276 296	-117497300634
SPT(16)	1118046091228214033	0 54 78 86 96 114 198 246 278 326 410 428 438 446 470 524	318596137452
STPT(10)	1118046116738271767	0 2 54 56 72 74 90 92 144 146	344106195186
STPT(10)	1118046378465729257	0 2 30 32 42 44 54 56 84 86	605833652676
TPT(14)	1118046424859469557	0 2 12 14 60 62 180 182 324 326 420 422 504 506	652227392976
STPT(10)	1118046754574280899	0 2 18 20 30 32 42 44 60 62	981942204318