Prime p₀= 2127784220248746011 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: Odd-Rod
db: batch=80, k=10, 2 76 2 58 2

SPT(16)	2127782509984869263	0 30 56 86 108 126 170 210 224 264 308 326 348 378 404 434	-1710263876748
SPT(16)	2127782523613722511	0 12 22 46 48 76 82 90 118 126 132 160 162 186 196 208	-1696635023500
STPT(10)	2127782630493926177	0 2 90 92 102 104 114 116 204 206	-1589754819834
STPT(10)	2127782682287761307	0 2 54 56 72 74 90 92 144 146	-1537960984704
STPT(12)	2127783709662295439	0 2 72 74 102 104 108 110 138 140 210 212	-510586450572
SPT(16)	2127784204179386191	0 10 18 40 48 82 136 138 370 372 426 460 468 490 498 508	-16069359820
SPT(16)	2127784406108736493	0 6 18 46 48 66 76 84 100 108 118 136 138 166 178 184	185859990482
SPT(16)	2127784679605830313	0 28 34 46 60 66 78 96 118 136 148 154 168 180 186 214	459357084302
SPT(13)	2127784783165019897	0 6 24 36 84 90 120 150 156 204 216 234 240	562916273886
STPT(10)	2127784791382113077	0 2 30 32 42 44 54 56 84 86	571133367066
STPT(10)	2127784923565057199	0 2 18 20 60 62 102 104 120 122	703316311188