Prime p₀= 2582227378102391867 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2582225799573142571	0 2 30 32 60 62 90 92 120 122	-1578529249296
SPT(20)	2582226107340871501	0 96 100 118 126 142 180 202 208 252 256 300 306 328 366 382 390 408 412 508	-1270761520366
SPT(16)	2582226507723043019	0 104 144 174 182 224 234 242 282 290 300 342 350 380 420 524	-870379348848
SPT(16)	2582226704981571559	0 28 30 52 90 118 160 168 184 192 234 262 300 322 324 352	-673120820308
SPT(16)	2582226724261903163	0 90 96 134 158 174 180 230 294 344 350 366 390 428 434 524	-653840488704
SPT(16)	2582226785818895659	0 34 72 94 100 112 124 160 174 210 222 234 240 262 300 334	-592283496208
STPT(10)	2582227521360323519	0 2 42 44 90 92 138 140 180 182	143257931652
SPT(16)	2582227829063475379	0 34 40 42 64 90 112 120 124 132 154 180 202 204 210 244	450961083512
STPT(10)	2582227970559576707	0 2 30 32 42 44 54 56 84 86	592457184840
SPT(16)	2582228044998348091	0 60 90 102 108 118 168 178 210 220 270 280 286 298 328 388	666895956224
SPT(18)	2582228189259597763	0 24 34 48 54 96 100 124 136 198 210 234 238 280 286 300 310 334	811157205896