Prime p₀= 1081123275138670859 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: stoneageman
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1081121643798824627	0 2 24 26 42 44 60 62 84 86	-1631339846232
STPT(10)	1081121720000447897	0 2 30 32 72 74 114 116 144 146	-1555138222962
SPT(16)	1081122500372661157	0 22 36 42 54 102 112 130 186 204 214 262 274 280 294 316	-774766009702
SPT(16)	1081122523047311539	0 40 58 64 82 132 142 174 238 270 280 330 348 354 372 412	-752091359320
TPT(14)	1081122787873757477	0 2 60 62 102 104 120 122 132 134 210 212 330 332	-487264913382
STPT(10)	1081122934400077139	0 2 18 20 30 32 42 44 60 62	-340738593720
STPT(10)	1081123400373587117	0 2 30 32 42 44 54 56 84 86	125234916258
SPT(16)	1081123663713890747	0 14 30 44 56 62 140 144 212 216 294 300 312 326 342 356	388575219888
SPT(16)	1081123898744544211	0 46 58 60 76 90 118 120 196 198 226 240 256 258 270 316	623605873352
SPT(16)	1081124163129735419	0 48 80 162 182 192 290 308 324 342 440 450 470 552 584 632	887991064560
SPT(16)	1081124332339520431	0 28 120 186 196 198 250 268 270 288 340 342 352 418 510 538	1057200849572