Prime p₀= 2125063490217149861 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: Landjunge
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2125062298592098963	0 48 144 168 238 256 318 328 336 346 408 426 496 520 616 664	-1191625050898
STPT(10)	2125062627757887359	0 2 12 14 90 92 168 170 180 182	-862459262502
SPT(16)	2125062781630284439	0 40 42 52 58 84 130 150 172 192 238 264 270 280 282 322	-708586865422
SPT(16)	2125063079559505367	0 14 24 36 50 60 62 104 162 204 206 216 230 242 252 266	-410657644494
STPT(10)	2125063160248501721	0 2 78 80 108 110 138 140 216 218	-329968648140
SPT(16)	2125063454834644333	0 10 28 78 84 94 114 118 150 154 174 184 190 240 258 268	-35382505528
SPT(16)	2125064423849288741	0 26 30 50 66 140 180 210 278 308 348 422 438 458 462 488	933632138880
TPT(16)	2125064640696916067	0 2 84 86 90 92 120 122 144 146 162 164 204 206 210 212	1150479766206
STPT(10)	2125064757214872971	0 2 36 38 78 80 120 122 156 158	1266997723110
STPT(10)	2125064924013488447	0 2 42 44 72 74 102 104 144 146	1433796338586
STPT(10)	2125065105122813561	0 2 30 32 138 140 246 248 276 278	1614905663700