Prime p₀= 1268563887858799757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Megacruncher
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1268562542688574823	0 26 54 104 128 180 204 216 218 230 254 306 330 380 408 434	-1345170224934
SPT(16)	1268562910192947847	0 30 66 90 102 136 150 162 184 196 210 244 256 280 316 346	-977665851910
STPT(10)	1268562978567064001	0 2 6 8 48 50 90 92 96 98	-909291735756
STPT(10)	1268563087322100539	0 2 12 14 30 32 48 50 60 62	-800536699218
SPT(16)	1268563368305856281	0 8 60 86 98 102 116 128 150 162 176 180 192 218 270 278	-519552943476
SPT(16)	1268563509035704891	0 10 42 48 58 60 118 120 268 270 328 330 340 346 378 388	-378823094866
SPT(16)	1268563932193715849	0 38 48 60 72 102 104 108 164 168 170 200 212 224 234 272	44334916092
SPT(16)	1268563932981740047	0 6 24 34 52 72 76 90 196 210 214 234 252 262 280 286	45122940290
SPT(18)	1268563982352110513	0 20 44 54 128 144 158 174 180 188 194 210 224 240 314 324 348 368	94493310756
STPT(10)	1268564036540708771	0 2 78 80 108 110 138 140 216 218	148681909014
STPT(10)	1268564061265637177	0 2 30 32 42 44 54 56 84 86	173406837420