Prime p₀= 2497913175436604171 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Penguin
db: batch=82, k=10, 2 34 2 40 2

TPT(14)	2497912325133783461	0 2 36 38 120 122 276 278 336 338 378 380 408 410	-850302820710
STPT(10)	2497912335709742879	0 2 12 14 90 92 168 170 180 182	-839726861292
SPT(16)	2497912473561675767	0 2 42 114 120 122 216 224 282 290 384 386 392 464 504 506	-701874928404
SPT(16)	2497912507623033181	0 18 22 28 42 70 72 88 90 106 108 136 150 156 160 178	-667813570990
SPT(16)	2497912811055696707	0 2 14 44 92 96 102 110 186 194 200 204 252 282 294 296	-364380907464
SPT(16)	2497913040806484997	0 10 12 24 34 42 54 66 100 112 124 132 142 154 156 166	-134630119174
SPT(16)	2497913593088088841	0 42 46 100 130 172 186 190 228 232 246 288 318 372 376 418	417651484670
STPT(10)	2497914126863018861	0 2 6 8 48 50 90 92 96 98	951426414690
SPT(16)	2497914134534269651	0 16 48 58 96 118 160 180 226 246 288 310 348 358 390 406	959097665480
TPT(14)	2497914421935942797	0 2 60 62 84 86 102 104 132 134 240 242 294 296	1246499338626
STPT(10)	2497914763512154739	0 2 18 20 30 32 42 44 60 62	1588075550568