Prime p₀= 2789797472514277397 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: WyerByter
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2789796252826403459	0 8 18 44 92 104 132 150 182 200 228 240 288 314 324 332	-1219687873938
SPT(16)	2789796578857871291	0 60 86 98 132 146 186 198 260 272 312 326 360 372 398 458	-893656406106
STPT(10)	2789796780107013371	0 2 30 32 60 62 90 92 120 122	-692407264026
SPT(16)	2789797065402850051	0 16 52 82 96 136 142 190 198 246 252 292 306 336 372 388	-407111427346
STPT(10)	2789797105842443231	0 2 78 80 108 110 138 140 216 218	-366671834166
STPT(10)	2789797374480236147	0 2 30 32 42 44 54 56 84 86	-98034041250
SPT(16)	2789797564468283701	0 28 36 48 76 78 90 156 202 268 280 282 310 322 330 358	91954006304
STPT(10)	2789797640149662641	0 2 36 38 78 80 120 122 156 158	167635385244
SPT(16)	2789797950667270327	0 24 42 70 72 100 102 124 210 232 234 262 264 292 310 334	478152992930
SPT(16)	2789798376744070771	0 22 58 148 160 228 268 280 288 300 340 408 420 510 546 568	904229793374
SPT(16)	2789798428692178237	0 6 42 54 76 90 112 120 136 144 166 180 202 214 250 256	956177900840