Prime p₀= 2515666525529149409 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: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2515665695089420147	0 4 52 60 66 72 106 126 130 150 184 190 196 204 252 256	-830439729262
TPT(14)	2515665883994724689	0 2 18 20 72 74 138 140 222 224 228 230 270 272	-641534424720
STPT(10)	2515665885865600751	0 2 6 8 48 50 90 92 96 98	-639663548658
SPT(16)	2515666093229995931	0 2 26 60 92 108 122 128 150 156 170 186 218 252 276 278	-432299153478
SPT(16)	2515666293753949541	0 8 60 66 78 116 122 126 182 186 192 230 242 248 300 308	-231775199868
SPT(16)	2515666508018998447	0 10 12 16 72 100 106 154 192 240 246 274 330 334 336 346	-17510150962
SPT(16)	2515666737652175977	0 24 64 70 102 234 244 262 294 312 322 454 486 492 532 556	212123026568
STPT(10)	2515666827802678799	0 2 18 20 30 32 42 44 60 62	302273529390
SPT(16)	2515667062338591097	0 4 40 46 54 66 70 82 144 156 160 172 180 186 222 226	536809441688
STPT(10)	2515667325939992009	0 2 42 44 60 62 78 80 120 122	800410842600
STPT(10)	2515667345750270627	0 2 24 26 42 44 60 62 84 86	820221121218