Prime p₀= 1024717023438465347 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: HenkM
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	1024715102721250901	0 2 36 38 78 80 120 122 156 158	-1920717214446
STPT(10)	1024715330162831441	0 2 36 38 78 80 120 122 156 158	-1693275633906
TPT(14)	1024716074877062807	0 2 252 254 282 284 390 392 462 464 492 494 534 536	-948561402540
STPT(12)	1024716124349480669	0 2 12 14 72 74 78 80 138 140 150 152	-899088984678
SPT(16)	1024716141822689311	0 28 30 48 72 78 118 186 202 270 310 316 340 358 360 388	-881615776036
SPT(16)	1024716734592251803	0 16 34 76 84 156 160 226 264 330 334 406 414 456 474 490	-288846213544
SPT(16)	1024717530331314899	0 8 14 24 30 62 80 98 114 132 150 182 188 198 204 212	506892849552
STPT(10)	1024717852735230131	0 2 30 32 78 80 126 128 156 158	829296764784
SPT(16)	1024718223252554177	0 20 54 62 90 114 120 152 162 194 200 224 252 260 294 314	1199814088830
SPT(16)	1024718238550729189	0 18 34 48 60 70 108 130 132 154 192 202 214 228 244 262	1215112263842
SPT(16)	1024718739967949009	0 12 54 60 78 90 132 140 222 230 272 284 302 308 350 362	1716529483662