Prime p₀= 2159914680594275069 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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=81, k=10, 2 46 2 40 2

TPT(14)	2159913605808152417	0 2 12 14 84 86 150 152 210 212 252 254 264 266	-1074786122652
STPT(10)	2159913640131400301	0 2 30 32 78 80 126 128 156 158	-1040462874768
SPT(16)	2159913692202216439	0 24 54 82 88 102 130 144 178 192 220 234 240 268 298 322	-988392058630
TPT(14)	2159913941115236819	0 2 42 44 78 80 120 122 132 134 258 260 270 272	-739479038250
SPT(16)	2159914123195164641	0 2 12 30 32 116 120 132 140 152 156 240 242 260 270 272	-557399110428
SPT(13)	2159914469688156791	0 30 60 96 126 186 246 306 366 396 432 462 492	-210906118278
SPT(20)	2159914810581017239	0 58 94 142 144 154 162 172 192 234 268 310 330 340 348 358 360 408 444 502	129986742170
SPT(16)	2159915011304770361	0 6 26 32 36 50 56 66 92 102 108 122 126 132 152 158	330710495292
STPT(10)	2159915087859437141	0 2 36 38 78 80 120 122 156 158	407265162072
SPT(16)	2159915145715949189	0 12 78 102 120 140 162 164 198 200 222 242 260 284 350 362	465121674120
SPT(18)	2159915258766524261	0 32 48 72 78 116 140 182 212 246 276 318 342 380 386 410 426 458	578172249192