Prime p₀= 2897572172159754977 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: Landjunge
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2897571426684862639	0 22 54 60 84 88 112 214 288 390 414 418 442 448 480 502	-745474892338
STPT(10)	2897571512795634041	0 2 6 8 48 50 90 92 96 98	-659364120936
STPT(10)	2897571969492552101	0 2 36 38 78 80 120 122 156 158	-202667202876
TPT(14)	2897571984685477199	0 2 48 50 90 92 168 170 198 200 258 260 300 302	-187474277778
SPT(16)	2897572056529605083	0 80 84 110 150 156 198 200 264 266 308 314 354 380 384 464	-115630149894
SPT(16)	2897572161229651817	0 6 14 20 44 116 120 170 246 296 300 372 396 402 410 416	-10930103160
SPT(16)	2897572224268063597	0 52 82 100 124 154 192 234 280 322 360 390 414 432 462 514	52108308620
TPT(14)	2897572682094129239	0 2 90 92 102 104 168 170 210 212 222 224 252 254	509934374262
SPT(16)	2897573086684254413	0 24 26 74 78 114 140 198 206 264 290 326 330 378 380 404	914524499436
SPT(16)	2897573265132224831	0 6 48 62 80 92 132 150 158 176 216 228 246 260 302 308	1092972469854
TPT(14)	2897573326017122969	0 2 30 32 108 110 228 230 270 272 282 284 402 404	1153857367992