Prime p₀= 2127780408358210391 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: retroactivemind
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2127779419418536781	0 6 30 32 56 72 78 86 132 140 146 162 186 188 212 218	-988939673610
STPT(10)	2127779430174031691	0 2 36 38 78 80 120 122 156 158	-978184178700
SPT(16)	2127779468946456487	0 10 12 42 84 94 154 162 184 192 252 262 304 334 336 346	-939411753904
SPT(16)	2127779704771020067	0 4 34 84 124 130 154 166 174 186 210 216 256 306 336 340	-703587190324
STPT(10)	2127779847006910709	0 2 18 20 30 32 42 44 60 62	-561351299682
SPT(16)	2127780248951157551	0 66 108 176 186 192 200 258 260 318 326 332 342 410 452 518	-159407052840
SPT(16)	2127780614669269493	0 14 38 50 98 126 168 170 174 176 218 246 294 306 330 344	206311059102
SPT(16)	2127780799131589387	0 4 10 30 60 120 132 142 162 172 184 244 274 294 300 304	390773378996
STPT(10)	2127780875078453237	0 2 30 32 42 44 54 56 84 86	466720242846
SPT(16)	2127781006300223803	0 18 46 64 70 90 100 114 130 144 154 174 180 198 226 244	597942013412
SPT(16)	2127781315940049493	0 34 58 76 78 138 166 226 258 318 346 406 408 426 450 484	907581839102