Prime p₀= 2027304217422893777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=80, k=10, 2 28 2 10 2

TPT(14)	2027303351622086579	0 2 18 20 72 74 150 152 192 194 222 224 240 242	-865800807198
TPT(14)	2027303450551795901	0 2 60 62 78 80 156 158 240 242 366 368 420 422	-766871097876
SPT(16)	2027303583519020239	0 4 28 42 54 94 108 118 144 154 168 208 220 234 258 262	-633903873538
SPT(16)	2027303605263790303	0 6 16 58 108 126 228 240 274 286 388 406 456 498 508 514	-612159103474
STPT(10)	2027303725755118631	0 2 6 8 18 20 30 32 36 38	-491667775146
SPT(16)	2027304150316029703	0 16 30 40 84 96 130 154 156 180 214 226 270 280 294 310	-67106864074
SPT(16)	2027304233685989393	0 20 44 56 108 116 174 176 198 200 258 266 318 330 354 374	16263095616
SPT(16)	2027304564391338431	0 38 50 56 66 72 78 80 168 170 176 182 192 198 210 248	346968444654
STPT(10)	2027304835761566087	0 2 24 26 42 44 60 62 84 86	618338672310
STPT(10)	2027305421414516951	0 2 36 38 78 80 120 122 156 158	1203991623174
STPT(10)	2027305959899777927	0 2 30 32 42 44 54 56 84 86	1742476884150