Prime p₀= 2071182716036107757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Cruncher Pete
db: batch=80, k=10, 2 28 2 40 2

SPT(16)	2071182186153065597	0 66 96 140 206 264 276 296 300 320 332 390 456 500 530 596	-529883042160
SPT(16)	2071182222203126917	0 34 76 84 120 124 126 150 166 190 192 196 232 240 282 316	-493832980840
STPT(10)	2071182295696079381	0 2 6 8 48 50 90 92 96 98	-420340028376
SPT(16)	2071182344344577141	0 42 60 72 98 126 138 146 192 200 212 240 266 278 296 338	-371691530616
SPT(16)	2071182459117002653	0 36 58 76 174 190 214 240 244 270 294 310 408 426 448 484	-256919105104
STPT(12)	2071182692376999569	0 2 12 14 42 44 60 62 90 92 102 104	-23659108188
SPT(16)	2071183163832959723	0 44 50 66 134 144 150 156 164 170 176 186 254 270 276 320	447796851966
SPT(16)	2071183695628210171	0 22 42 66 108 120 166 178 180 192 238 250 292 316 336 358	979592102414
SPT(16)	2071184175980026351	0 18 30 82 88 96 100 112 126 138 142 150 156 208 220 238	1459943918594
STPT(10)	2071184513075699687	0 2 30 32 42 44 54 56 84 86	1797039591930
STPT(10)	2071184575290744647	0 2 24 26 42 44 60 62 84 86	1859254636890