Prime p₀= 1014500927665374197 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Theadalus
db: batch=76, k=10, 2 40 2 28 2

TPT(14)	1014500418003370421	0 2 30 32 48 50 90 92 126 128 156 158 186 188	-509662003776
STPT(10)	1014500438003776187	0 2 60 62 102 104 144 146 204 206	-489661598010
SPT(16)	1014500438251869991	0 36 52 58 66 88 100 108 190 198 210 232 240 246 262 298	-489413504206
SPT(16)	1014500607024862327	0 12 66 82 96 126 142 166 186 210 226 256 270 286 340 352	-320640511870
STPT(10)	1014500621878825979	0 2 42 44 60 62 78 80 120 122	-305786548218
SPT(16)	1014500899783351667	0 114 122 144 162 164 170 180 224 234 240 242 260 282 290 404	-27882022530
SPT(16)	1014501807996516583	0 18 34 84 94 118 130 168 286 324 336 360 370 420 436 454	880331142386
SPT(16)	1014502132533009917	0 32 54 102 150 164 170 234 242 306 312 326 374 422 444 476	1204867635720
SPT(16)	1014502369591363739	0 50 78 114 182 204 218 272 360 414 428 450 518 554 582 632	1441925989542
SPT(16)	1014502940402091683	0 50 78 104 114 116 144 158 186 200 228 230 240 266 294 344	2012736717486
STPT(10)	1014502965180673019	0 2 18 20 60 62 102 104 120 122	2037515298822