Prime p₀= 1065019487476359599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: stoneageman
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1065018826390079579	0 2 12 84 128 152 170 174 218 222 240 264 308 380 390 392	-661086280020
STPT(10)	1065018836482068581	0 2 36 38 78 80 120 122 156 158	-650994291018
STPT(10)	1065018896443101569	0 2 12 14 30 32 48 50 60 62	-591033258030
SPT(16)	1065018978688386023	0 14 74 120 128 164 170 176 228 234 240 276 284 330 390 404	-508787973576
SPT(16)	1065018994242336583	0 4 16 46 58 84 88 90 184 186 190 216 228 258 270 274	-493234023016
SPT(16)	1065019341915835907	0 12 72 80 152 194 212 234 242 264 282 324 396 404 464 476	-145560523692
STPT(10)	1065019797196804619	0 2 42 44 60 62 78 80 120 122	309720445020
SPT(16)	1065019980692829377	0 30 86 104 140 236 264 266 270 272 300 396 432 450 506 536	493216469778
STPT(10)	1065020796833299211	0 2 6 8 48 50 90 92 96 98	1309356939612
SPT(16)	1065020893280063771	0 6 42 50 56 72 108 126 212 230 266 282 288 296 332 338	1405803704172
SPT(16)	1065021048778626007	0 34 76 124 126 132 172 220 246 294 334 340 342 390 432 466	1561302266408