Prime p₀= 1027547223131294147 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)	1027546269590335751	0 2 18 20 48 50 60 62 156 158 198 200 258 260	-953540958396
TPT(14)	1027546414031907221	0 2 6 8 90 92 138 140 156 158 168 170 210 212	-809099386926
TPT(14)	1027546537810456757	0 2 30 32 42 44 84 86 144 146 210 212 252 254	-685320837390
SPT(18)	1027546593930705427	0 36 40 106 120 150 154 204 270 340 406 456 460 490 504 570 574 610	-629200588720
TPT(14)	1027546802323758317	0 2 102 104 144 146 150 152 252 254 264 266 282 284	-420807535830
STPT(10)	1027546816517338211	0 2 6 8 48 50 90 92 96 98	-406613955936
SPT(16)	1027547473122284017	0 12 22 54 72 154 156 186 190 220 222 304 322 354 364 376	249990989870
STPT(10)	1027548051575127749	0 2 18 20 30 32 42 44 60 62	828443833602
SPT(16)	1027548096823047433	0 28 84 88 96 138 156 184 210 238 256 298 306 310 366 394	873691753286
STPT(10)	1027548652601108921	0 2 6 8 48 50 90 92 96 98	1429469814774
SPT(16)	1027548660052003651	0 52 58 72 108 112 148 160 228 240 276 280 316 330 336 388	1436920709504