Prime p₀= 2506137164388430187 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2506135887330805979	0 2 18 20 30 32 42 44 60 62	-1277057624208
SPT(16)	2506135974216986591	0 78 90 102 128 188 230 260 420 450 492 552 578 590 602 680	-1190171443596
SPT(16)	2506136117050984169	0 12 38 42 90 110 180 212 318 350 420 440 488 492 518 530	-1047337446018
SPT(16)	2506136360119431001	0 78 106 112 130 210 226 228 310 312 328 408 426 432 460 538	-804268999186
SPT(16)	2506136759777745931	0 28 36 42 46 48 72 106 222 256 280 282 286 292 300 328	-404610684256
TPT(14)	2506136820059967749	0 2 42 44 72 74 210 212 228 230 270 272 378 380	-344328462438
SPT(16)	2506137538197598727	0 60 116 122 132 170 186 204 212 230 246 284 294 300 356 416	373809168540
STPT(10)	2506137651126397787	0 2 30 32 72 74 114 116 144 146	486737967600
STPT(10)	2506137675552542567	0 2 30 32 42 44 54 56 84 86	511164112380
TPT(14)	2506138144894262441	0 2 96 98 180 182 288 290 300 302 330 332 336 338	980505832254
SPT(16)	2506138292626619659	0 10 24 42 84 88 130 138 154 162 204 208 250 268 282 292	1128238189472