Prime p₀= 2780623891099570781 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 40 2 40 2 124 2 (?)
a_n: 0 2 126 128 168 170 210 212 336 338
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: 338
Found by: [SG-FC] hl
db: batch=82, k=10, 2 124 2 40 2

SPT(16)	2780621794917005297	0 14 60 66 74 84 86 90 140 144 146 156 164 170 216 230	-2096182565484
SPT(16)	2780621885775576463	0 34 40 78 90 106 148 154 180 186 228 244 256 294 300 334	-2005323994318
TPT(14)	2780621967178832561	0 2 78 80 96 98 168 170 288 290 306 308 420 422	-1923920738220
STPT(10)	2780622781782935207	0 2 30 32 42 44 54 56 84 86	-1109316635574
SPT(16)	2780623232634189017	0 26 32 56 74 96 152 162 164 174 230 252 270 294 300 326	-658465381764
SPT(16)	2780623604543222267	0 14 32 36 92 140 146 186 200 240 246 294 350 354 372 386	-286556348514
STPT(10)	2780623962170820629	0 2 42 44 90 92 138 140 180 182	71071249848
STPT(10)	2780623973996218697	0 2 12 14 42 44 72 74 84 86	82896647916
STPT(10)	2780624243125809131	0 2 6 8 18 20 30 32 36 38	352026238350
SPT(16)	2780624273387090747	0 12 42 80 110 144 152 222 224 294 302 336 366 404 434 446	382287519966
SPT(18)	2780624562861117971	0 20 26 48 50 60 110 120 140 228 248 258 308 318 320 342 348 368	671761547190