Prime p₀= 2081734421586852257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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=80, k=10, 2 28 2 10 2

SPT(16)	2081733150162880163	0 20 24 26 54 78 98 110 384 396 416 440 468 470 474 494	-1271423972094
SPT(16)	2081733202068833191	0 6 42 72 76 82 88 142 366 420 426 432 436 466 502 508	-1219518019066
STPT(10)	2081733537095964047	0 2 72 74 102 104 132 134 204 206	-884490888210
STPT(10)	2081733931245731429	0 2 42 44 60 62 78 80 120 122	-490341120828
STPT(10)	2081734215172621769	0 2 12 14 90 92 168 170 180 182	-206414230488
SPT(16)	2081734401674499739	0 30 60 90 100 114 144 154 258 268 298 312 322 352 382 412	-19912352518
TPT(14)	2081734723614728339	0 2 48 50 108 110 132 134 150 152 180 182 210 212	302027876082
SPT(16)	2081734923730060741	0 30 36 48 52 58 70 88 90 108 120 126 130 142 148 178	502143208484
SPT(16)	2081735021197228279	0 18 28 42 78 108 120 142 198 220 232 262 298 312 322 340	599610376022
SPT(16)	2081735102932334303	0 6 44 84 104 110 126 180 200 254 270 276 296 336 374 380	681345482046
SPT(16)	2081735224864311977	0 74 80 120 134 176 186 246 254 314 324 366 380 420 426 500	803277459720