Prime p₀= 2764319867457228317 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: Roadranner
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2764317710739372647	0 2 30 32 72 74 114 116 144 146	-2156717855670
SPT(16)	2764318288188476273	0 38 50 56 66 80 108 116 168 176 204 218 228 234 246 284	-1579268752044
STPT(10)	2764318854983502329	0 2 42 44 60 62 78 80 120 122	-1012473725988
SPT(16)	2764319082903664849	0 28 70 90 114 120 124 132 190 198 202 208 232 252 294 322	-784553563468
SPT(16)	2764319117042574673	0 40 114 126 156 204 268 336 388 456 520 568 598 610 684 724	-750414653644
SPT(16)	2764319655566500937	0 6 36 42 80 96 110 126 146 162 176 192 230 236 266 272	-211890727380
SPT(16)	2764319942298508813	0 4 16 18 46 76 94 108 136 150 168 198 226 228 240 244	74841280496
SPT(16)	2764319953260191213	0 18 24 86 98 128 140 144 170 174 186 216 228 290 296 314	85802962896
SPT(16)	2764319958252110857	0 16 22 30 34 40 76 82 114 120 156 162 166 174 180 196	90794882540
SPT(16)	2764320117823508677	0 12 24 30 34 52 70 76 90 96 114 132 136 142 154 166	250366280360
STPT(10)	2764320227399816087	0 2 30 32 72 74 114 116 144 146	359942587770