Prime p₀= 2923429078085094149 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2923427282615199337	0 94 126 162 172 174 214 216 250 252 292 294 304 340 372 466	-1795469894812
SPT(16)	2923427465656408171	0 28 30 52 70 76 88 90 178 180 192 198 216 238 240 268	-1612428685978
SPT(16)	2923428504043344929	0 14 30 42 78 90 92 164 168 240 242 254 290 302 318 332	-574041749220
STPT(10)	2923428513643554149	0 2 48 50 60 62 72 74 120 122	-564441540000
STPT(10)	2923428634136596499	0 2 42 44 90 92 138 140 180 182	-443948497650
SPT(16)	2923428723364346777	0 12 54 60 62 84 110 140 186 216 242 264 266 272 314 326	-354720747372
SPT(20)	2923429150357276481	0 18 42 68 92 116 126 140 156 170 228 242 258 272 282 306 330 356 380 398	72272182332
STPT(10)	2923429551477293429	0 2 18 20 30 32 42 44 60 62	473392199280
SPT(16)	2923430029470606497	0 32 50 132 162 186 200 290 312 402 416 440 470 552 570 602	951385512348
SPT(16)	2923430073892032137	0 42 66 104 114 170 182 192 254 264 276 332 342 380 404 446	995806937988
TPT(14)	2923430316941254949	0 2 108 110 138 140 162 164 168 170 210 212 252 254	1238856160800