Prime p₀= 2451521294276510501 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 130 2 130 2 34 2 (?)
a_n: 0 2 36 38 168 170 300 302 336 338
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: 338
Found by: JayPi
db: batch=82, k=10, 2 34 2 130 2

SPT(16)	2451520028324723303	0 8 36 48 96 98 114 140 294 320 336 338 386 398 426 434	-1265951787198
STPT(10)	2451520242766112801	0 2 6 8 48 50 90 92 96 98	-1051510397700
SPT(16)	2451520530133260679	0 18 78 120 142 148 150 168 172 190 192 198 220 262 322 340	-764143249822
STPT(10)	2451520696021356857	0 2 42 44 72 74 102 104 144 146	-598255153644
SPT(16)	2451520787582236919	0 24 38 54 80 90 120 150 152 182 212 222 248 264 278 302	-506694273582
STPT(10)	2451521203571673281	0 2 138 140 168 170 198 200 336 338	-90704837220
TPT(14)	2451521689403533247	0 2 42 44 54 56 72 74 144 146 174 176 312 314	395127022746
STPT(10)	2451521781259941347	0 2 60 62 72 74 84 86 144 146	486983430846
SPT(16)	2451521960881373669	0 42 80 120 200 230 240 260 282 302 312 342 422 462 500 542	666604863168
TPT(14)	2451521980733950301	0 2 60 62 210 212 246 248 270 272 366 368 378 380	686457439800
STPT(10)	2451522222137274071	0 2 30 32 78 80 126 128 156 158	927860763570