Prime p₀= 2626723356625343147 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2626721052201411419	0 14 44 62 80 104 128 132 140 144 168 192 210 228 258 272	-2304423931728
TPT(14)	2626722204240294581	0 2 78 80 108 110 126 128 156 158 198 200 210 212	-1152385048566
STPT(10)	2626722580884245399	0 2 48 50 90 92 132 134 180 182	-775741097748
SPT(16)	2626722616116928669	0 18 22 42 48 64 70 130 162 222 228 244 250 270 274 292	-740508414478
SPT(16)	2626722958951198309	0 10 42 88 114 142 180 220 312 352 390 418 444 490 522 532	-397674144838
SPT(16)	2626723038967197409	0 28 40 54 82 120 130 144 148 162 172 210 238 252 264 292	-317658145738
SPT(16)	2626723531076604821	0 2 26 30 36 56 98 120 158 180 222 242 248 252 276 278	174451261674
STPT(10)	2626723785985206749	0 2 78 80 210 212 342 344 420 422	429359863602
STPT(10)	2626723931539373717	0 2 42 44 102 104 162 164 204 206	574914030570
STPT(10)	2626724645509019327	0 2 24 26 42 44 60 62 84 86	1288883676180
SPT(16)	2626724672330370883	0 34 124 126 144 178 186 216 298 328 336 370 388 390 480 514	1315705027736