Prime p₀= 2735809857624195179 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: herby44
db: batch=82, k=10, 2 16 2 40 2

TPT(14)	2735808079475771999	0 2 30 32 108 110 240 242 348 350 450 452 492 494	-1778148423180
SPT(16)	2735808588079943557	0 10 52 82 142 180 220 322 390 492 532 570 630 660 702 712	-1269544251622
SPT(16)	2735808739805780047	0 12 30 34 52 82 126 132 184 190 234 264 282 286 304 316	-1117818415132
SPT(16)	2735808788574155251	0 12 46 60 66 96 126 196 282 352 382 412 418 432 466 478	-1069050039928
SPT(16)	2735808882841655041	0 40 42 72 88 130 208 222 256 270 348 390 406 436 438 478	-974782540138
STPT(10)	2735809763270184707	0 2 30 32 42 44 54 56 84 86	-94354010472
SPT(16)	2735809916023742489	0 24 38 122 138 152 162 164 198 200 210 224 240 324 338 362	58399547310
TPT(14)	2735810145995455379	0 2 30 32 48 50 180 182 198 200 210 212 270 272	288371260200
STPT(10)	2735810470774822757	0 2 30 32 42 44 54 56 84 86	613150627578
SPT(16)	2735810671686622363	0 40 60 64 94 108 124 150 208 234 250 264 294 298 318 358	814062427184
SPT(16)	2735810847694322491	0 22 36 42 48 52 66 88 150 172 186 190 196 202 216 238	990070127312