Prime p₀= 2627255657631097697 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: Asgard2022
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2627254508724634429	0 28 34 54 64 72 82 88 114 120 130 138 148 168 174 202	-1148906463268
SPT(16)	2627254886774343157	0 22 24 40 90 150 160 222 232 294 304 364 414 430 432 454	-770856754540
SPT(16)	2627254959803869259	0 18 68 78 102 104 120 134 138 152 168 170 194 204 254 272	-697827228438
STPT(10)	2627255205999730091	0 2 30 32 60 62 90 92 120 122	-451631367606
SPT(16)	2627255310009865819	0 22 30 40 42 48 58 142 180 264 274 280 282 292 300 322	-347621231878
SPT(16)	2627255338123217107	0 36 60 96 120 124 126 204 256 334 336 340 364 400 424 460	-319507880590
STPT(10)	2627256503301232469	0 2 42 44 60 62 78 80 120 122	845670134772
STPT(10)	2627257418025703271	0 2 6 8 48 50 90 92 96 98	1760394605574
SPT(16)	2627257574584944493	0 24 30 70 90 118 126 166 168 208 216 244 264 304 310 334	1916953846796
SPT(16)	2627257975861510573	0 28 30 40 108 126 156 168 178 190 220 238 306 316 318 346	2318230412876
STPT(10)	2627258105405460221	0 2 36 38 78 80 120 122 156 158	2447774362524