Prime p₀= 2124464609771616899 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: Landjunge
db: batch=80, k=10, 2 40 2 46 2

SPT(16)	2124462464115921049	0 4 42 54 72 102 124 142 150 168 190 220 238 250 288 292	-2145655695850
STPT(10)	2124462699105561161	0 2 6 8 48 50 90 92 96 98	-1910666055738
STPT(10)	2124462773523804281	0 2 36 38 138 140 240 242 276 278	-1836247812618
SPT(16)	2124463312509160159	0 28 40 88 108 124 130 148 210 228 234 250 270 318 330 358	-1297262456740
SPT(16)	2124463766565912773	0 24 26 66 74 84 96 110 114 128 140 150 158 198 200 224	-843205704126
STPT(10)	2124463777915710989	0 2 18 20 30 32 42 44 60 62	-831855905910
SPT(16)	2124465901812147137	0 6 44 60 62 74 132 156 170 194 252 264 266 282 320 326	1292040530238
SPT(16)	2124466149977911489	0 28 52 54 94 112 162 190 252 280 330 348 388 390 414 442	1540206294590
STPT(10)	2124466256297739749	0 2 48 50 90 92 132 134 180 182	1646526122850
TPT(14)	2124466447364405411	0 2 120 122 126 128 156 158 180 182 210 212 288 290	1837592788512
SPT(16)	2124466523106963289	0 18 42 100 112 118 144 198 244 298 324 330 342 400 424 442	1913335346390