Prime p₀= 2025575363032639679 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Ben
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2025573775402351841	0 2 6 8 18 20 30 32 36 38	-1587630287838
SPT(16)	2025574462608109901	0 38 48 60 90 92 140 146 222 228 276 278 308 320 330 368	-900424529778
SPT(16)	2025574901141232097	0 40 82 114 142 144 150 192 202 244 250 252 280 312 354 394	-461891407582
SPT(16)	2025574976793277583	0 14 20 36 56 78 104 120 134 150 176 198 218 234 240 254	-386239362096
TPT(14)	2025575019994497899	0 2 30 32 42 44 72 74 222 224 270 272 342 344	-343038141780
STPT(10)	2025575041868012249	0 2 18 20 30 32 42 44 60 62	-321164627430
SPT(16)	2025575490730317101	0 2 20 30 42 78 90 102 146 158 170 206 218 228 246 248	127697677422
STPT(10)	2025575553542017577	0 2 42 44 72 74 102 104 144 146	190509377898
STPT(10)	2025575889446640071	0 2 30 32 78 80 126 128 156 158	526414000392
STPT(10)	2025576257130006401	0 2 6 8 18 20 30 32 36 38	894097366722
SPT(16)	2025576440058811823	0 14 24 36 44 54 56 78 86 108 110 120 128 140 150 164	1077026172144