Prime p₀= 786216128802727871 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 28 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 138 140 216 218
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: 218
Found by: [AF>Amis des Lapins] Ceclo
db: batch=73, k=10, 2 76 2 28 2

TPT(14)	786214590576108677	0 2 42 44 84 86 222 224 240 242 252 254 300 302	-1538226619194
TPT(14)	786214671758160101	0 2 18 20 30 32 90 92 186 188 210 212 216 218	-1457044567770
STPT(10)	786215635660512917	0 2 30 32 72 74 114 116 144 146	-493142214954
STPT(10)	786215765571678521	0 2 30 32 78 80 126 128 156 158	-363231049350
SPT(18)	786215793408299321	0 60 68 78 92 96 116 152 198 200 246 282 302 306 320 330 338 398	-335394428550
STPT(10)	786215855672100611	0 2 6 8 18 20 30 32 36 38	-273130627260
TPT(14)	786216698760412097	0 2 12 14 90 92 180 182 192 194 222 224 234 236	569957684226
SPT(16)	786217365155018773	0 36 88 96 100 130 186 196 198 208 264 294 298 306 358 394	1236352290902
STPT(10)	786217422838829621	0 2 48 50 168 170 288 290 336 338	1294036101750
SPT(16)	786217472721138097	0 34 84 94 106 112 160 216 280 336 384 390 402 412 462 496	1343918410226
STPT(10)	786217524903084011	0 2 48 50 108 110 168 170 216 218	1396100356140