Prime p₀= 2710939629371378729 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: JayPi
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2710939074285116011	0 22 28 100 102 142 162 168 250 256 276 316 318 390 396 418	-555086262718
STPT(10)	2710939090621711907	0 2 42 44 72 74 102 104 144 146	-538749666822
STPT(10)	2710939099647646727	0 2 30 32 72 74 114 116 144 146	-529723732002
SPT(16)	2710939121502445103	0 14 30 96 174 210 254 264 296 306 350 386 464 530 546 560	-507868933626
STPT(10)	2710939224587717489	0 2 42 44 60 62 78 80 120 122	-404783661240
SPT(16)	2710939442662005559	0 42 72 82 130 138 154 180 202 228 244 252 300 310 340 382	-186709373170
SPT(16)	2710939681094073167	0 12 30 36 92 102 170 176 180 186 254 264 320 326 344 356	51722694438
SPT(16)	2710939763147458537	0 24 52 60 94 100 156 160 186 190 246 252 286 294 322 346	133776079808
STPT(10)	2710939934058709007	0 2 12 14 72 74 132 134 144 146	304687330278
SPT(16)	2710940333040593651	0 12 86 96 110 116 132 140 228 236 252 258 272 282 356 368	703669214922
SPT(16)	2710940418983503129	0 10 24 30 48 78 114 148 294 328 364 394 412 418 432 442	789612124400