Prime p₀= 2181071576602693277 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Penguin
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2181069527930513023	0 4 16 30 58 100 124 144 250 270 294 336 364 378 390 394	-2048672180254
TPT(14)	2181069600623850509	0 2 42 44 60 62 108 110 138 140 180 182 222 224	-1975978842768
STPT(10)	2181070014336032759	0 2 42 44 60 62 78 80 120 122	-1562266660518
STPT(12)	2181070388080650401	0 2 30 32 60 62 96 98 126 128 156 158	-1188522042876
TPT(14)	2181071047905526031	0 2 6 8 36 38 126 128 168 170 246 248 288 290	-528697167246
SPT(16)	2181071383153411583	0 30 84 86 146 156 234 240 260 266 344 354 414 416 470 500	-193449281694
SPT(16)	2181071873783394587	0 2 6 50 66 90 132 146 150 164 206 230 246 290 294 296	297180701310
TPT(16)	2181071935139978831	0 2 30 32 60 62 66 68 210 212 306 308 408 410 420 422	358537285554
SPT(16)	2181071963724091729	0 12 22 124 130 142 168 172 180 184 210 222 228 330 340 352	387121398452
SPT(16)	2181072027928278143	0 8 26 98 110 116 120 140 204 224 228 234 246 318 336 344	451325584866
STPT(10)	2181072281674061681	0 2 6 8 48 50 90 92 96 98	705071368404