Prime p₀= 1168123360760521637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: HenkM
db: batch=77, k=10, 2 82 2 46 2

STPT(10)	1168122368091178601	0 2 6 8 48 50 90 92 96 98	-992669343036
STPT(10)	1168122532414757987	0 2 12 14 72 74 132 134 144 146	-828345763650
SPT(16)	1168122568237722637	0 12 36 40 66 112 114 166 180 232 234 280 306 310 334 346	-792522799000
SPT(16)	1168122604787606891	0 26 38 66 80 86 90 96 140 146 150 156 170 198 210 236	-755972914746
SPT(16)	1168122897897779899	0 12 18 40 82 102 118 132 160 174 190 210 252 274 280 292	-462862741738
SPT(16)	1168123231768019287	0 10 24 76 90 102 154 166 180 192 244 256 270 322 336 346	-128992502350
SPT(16)	1168123683337151561	0 62 80 86 98 108 132 138 140 146 170 180 192 198 216 278	322576629924
SPT(16)	1168123720420038709	0 60 108 132 148 210 214 222 370 378 382 444 460 484 532 592	359659517072
STPT(10)	1168123807010462147	0 2 24 26 42 44 60 62 84 86	446249940510
SPT(16)	1168123929127905863	0 14 44 86 150 194 204 246 254 296 306 350 414 456 486 500	568367384226
STPT(10)	1168123982057022041	0 2 6 8 18 20 30 32 36 38	621296500404