Prime p₀= 1025509565770622687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: HenkM
db: batch=76, k=10, 2 58 2 10 2

SPT(16)	1025508029467003879	0 10 30 34 90 102 112 142 210 240 250 262 318 322 342 352	-1536303618808
SPT(16)	1025508329368485317	0 20 26 50 56 90 102 104 132 134 146 180 186 210 216 236	-1236402137370
TPT(14)	1025508752963517959	0 2 48 50 78 80 132 134 162 164 168 170 222 224	-812807104728
STPT(10)	1025509302219293327	0 2 42 44 72 74 102 104 144 146	-263551329360
SPT(16)	1025509432070421079	0 4 90 130 138 190 250 292 300 342 402 454 462 502 588 592	-133700201608
STPT(10)	1025509456102217687	0 2 30 32 42 44 54 56 84 86	-109668405000
STPT(10)	1025510342582284577	0 2 42 44 72 74 102 104 144 146	776811661890
STPT(10)	1025511256461332651	0 2 6 8 48 50 90 92 96 98	1690690709964
TPT(14)	1025511339467435999	0 2 78 80 90 92 162 164 192 194 252 254 300 302	1773696813312
SPT(16)	1025511447050429587	0 34 72 76 84 94 162 252 394 484 552 562 570 574 612 646	1881279806900
TPT(14)	1025512087923501767	0 2 114 116 120 122 162 164 240 242 252 254 264 266	2522152879080