Prime p₀= 1117643309107071137 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: Theadalus
db: batch=76, k=10, 2 28 2 10 2

TPT(14)	1117641907649491307	0 2 12 14 42 44 54 56 114 116 210 212 222 224	-1401457579830
TPT(14)	1117641995872318727	0 2 30 32 114 116 150 152 192 194 222 224 270 272	-1313234752410
SPT(16)	1117642017700368709	0 22 24 54 84 168 180 220 222 262 274 358 388 418 420 442	-1291406702428
SPT(16)	1117643189286204947	0 14 36 62 72 86 120 126 170 176 210 224 234 260 282 296	-119820866190
SPT(16)	1117643282605262027	0 2 30 42 80 84 110 116 150 156 182 186 224 236 264 266	-26501809110
SPT(16)	1117643293100282227	0 60 70 112 114 142 144 196 270 322 324 352 354 396 406 466	-16006788910
STPT(10)	1117643421089180771	0 2 36 38 78 80 120 122 156 158	111982109634
SPT(16)	1117643586957992099	0 12 14 80 84 102 140 144 158 162 200 218 222 288 290 302	277850920962
STPT(10)	1117643759437169579	0 2 18 20 30 32 42 44 60 62	450330098442
SPT(16)	1117643793163781539	0 12 78 112 120 168 174 190 192 208 214 262 270 304 370 382	484056710402
SPT(16)	1117643973152567527	0 16 24 34 76 94 102 130 156 184 192 210 252 262 270 286	664045496390