Prime p₀= 2128497598159370687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 10 2 58 2

SPT(16)	2128496661691876253	0 26 50 66 86 96 114 224 276 386 404 414 434 450 474 500	-936467494434
STPT(10)	2128496679071895929	0 2 18 20 30 32 42 44 60 62	-919087474758
SPT(16)	2128496736155797279	0 24 84 100 142 154 174 184 210 220 240 252 294 310 370 394	-862003573408
STPT(10)	2128497019916369951	0 2 30 32 60 62 90 92 120 122	-578243000736
STPT(10)	2128497141448226279	0 2 42 44 150 152 258 260 300 302	-456711144408
STPT(10)	2128497160537248377	0 2 30 32 60 62 90 92 120 122	-437622122310
SPT(16)	2128498002504867121	0 6 16 42 58 76 118 162 196 240 282 300 316 342 352 358	404345496434
TPT(14)	2128498374025328297	0 2 24 26 144 146 150 152 192 194 234 236 264 266	775865957610
SPT(16)	2128498977150158201	0 12 18 102 116 122 206 210 218 222 306 312 326 410 416 428	1378990787514
SPT(16)	2128499037925842301	0 42 46 58 70 76 102 118 180 196 222 228 240 252 256 298	1439766471614
SPT(16)	2128499235711805907	0 60 66 74 86 96 122 144 152 174 200 210 222 230 236 296	1637552435220