Prime p₀= 1127337386822784437 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: crashtech
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1127334789315784037	0 2 20 30 50 72 74 80 126 132 134 156 176 186 204 206	-2597507000400
STPT(10)	1127334868296075557	0 2 30 32 42 44 54 56 84 86	-2518526708880
SPT(16)	1127335230146595307	0 6 34 76 90 112 162 172 204 214 264 286 300 342 370 376	-2156676189130
SPT(16)	1127336390188564181	0 2 6 36 66 68 72 80 138 146 150 152 182 212 216 218	-996634220256
SPT(16)	1127336997217367009	0 20 38 68 72 90 98 110 192 204 212 230 234 264 282 302	-389605417428
SPT(16)	1127337304949078413	0 60 64 94 154 168 234 276 358 400 466 480 540 570 574 634	-81873706024
STPT(10)	1127337437130687707	0 2 12 14 42 44 72 74 84 86	50307903270
STPT(10)	1127337469428308189	0 2 18 20 30 32 42 44 60 62	82605523752
SPT(16)	1127337506259836461	0 58 72 76 88 108 132 156 172 196 220 240 252 256 270 328	119437052024
SPT(16)	1127337630416167903	0 6 54 108 124 154 196 228 286 318 360 390 406 460 508 514	243593383466
SPT(13)	1127338485465138959	0 42 78 138 192 210 270 330 348 402 462 498 540	1098642354522