Prime p₀= 1065019797196804619 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: stoneageman
db: batch=76, k=10, 2 40 2 16 2

STPT(10)	1065018836482068581	0 2 36 38 78 80 120 122 156 158	-960714736038
STPT(10)	1065018896443101569	0 2 12 14 30 32 48 50 60 62	-900753703050
SPT(16)	1065018978688386023	0 14 74 120 128 164 170 176 228 234 240 276 284 330 390 404	-818508418596
SPT(16)	1065018994242336583	0 4 16 46 58 84 88 90 184 186 190 216 228 258 270 274	-802954468036
SPT(16)	1065019341915835907	0 12 72 80 152 194 212 234 242 264 282 324 396 404 464 476	-455280968712
STPT(10)	1065019487476359599	0 2 18 20 30 32 42 44 60 62	-309720445020
SPT(16)	1065019980692829377	0 30 86 104 140 236 264 266 270 272 300 396 432 450 506 536	183496024758
STPT(10)	1065020796833299211	0 2 6 8 48 50 90 92 96 98	999636494592
SPT(16)	1065020893280063771	0 6 42 50 56 72 108 126 212 230 266 282 288 296 332 338	1096083259152
SPT(16)	1065021048778626007	0 34 76 124 126 132 172 220 246 294 334 340 342 390 432 466	1251581821388
SPT(16)	1065021230827616077	0 4 54 72 112 126 142 144 262 264 280 294 334 352 402 406	1433630811458