Prime p₀= 2239299827596387679 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Penguin
db: batch=81, k=10, 2 10 2 16 2

STPT(10)	2239298756933801711	0 2 30 32 78 80 126 128 156 158	-1070662585968
STPT(10)	2239298770192784351	0 2 6 8 18 20 30 32 36 38	-1057403603328
SPT(16)	2239299170031666397	0 12 42 100 124 142 160 162 202 204 222 240 264 322 352 364	-657564721282
SPT(16)	2239299512816901187	0 22 24 46 70 112 130 186 220 276 294 336 360 382 384 406	-314779486492
SPT(16)	2239299637277416183	0 16 88 94 106 114 138 148 186 196 220 228 240 246 318 334	-190318971496
SPT(16)	2239299696962607259	0 18 40 60 94 112 144 190 252 298 330 348 382 402 424 442	-130633780420
SPT(16)	2239299919550553077	0 32 36 50 84 110 114 126 170 182 186 212 246 260 264 296	91954165398
SPT(16)	2239300466609961407	0 14 20 72 80 116 126 146 210 230 240 276 284 336 342 356	639013573728
SPT(16)	2239300592052827129	0 50 60 78 92 98 102 114 128 140 144 150 164 182 192 242	764456439450
SPT(16)	2239300712668922081	0 2 12 48 56 86 138 168 200 230 282 312 320 356 366 368	885072534402
SPT(16)	2239300732069976843	0 6 8 30 50 56 60 66 98 104 108 114 134 156 158 164	904473589164