Prime p₀= 1025509456102217687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: stoneageman
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1025507724047383891	0 10 30 42 58 72 132 172 198 238 298 312 328 340 360 370	-1732054833796
SPT(16)	1025508029467003879	0 10 30 34 90 102 112 142 210 240 250 262 318 322 342 352	-1426635213808
SPT(16)	1025508329368485317	0 20 26 50 56 90 102 104 132 134 146 180 186 210 216 236	-1126733732370
TPT(14)	1025508752963517959	0 2 48 50 78 80 132 134 162 164 168 170 222 224	-703138699728
STPT(10)	1025509302219293327	0 2 42 44 72 74 102 104 144 146	-153882924360
SPT(16)	1025509432070421079	0 4 90 130 138 190 250 292 300 342 402 454 462 502 588 592	-24031796608
STPT(10)	1025509565770622687	0 2 60 62 72 74 84 86 144 146	109668405000
STPT(10)	1025510342582284577	0 2 42 44 72 74 102 104 144 146	886480066890
STPT(10)	1025511256461332651	0 2 6 8 48 50 90 92 96 98	1800359114964
TPT(14)	1025511339467435999	0 2 78 80 90 92 162 164 192 194 252 254 300 302	1883365218312
SPT(16)	1025511447050429587	0 34 72 76 84 94 162 252 394 484 552 562 570 574 612 646	1990948211900