Prime p₀= 1025510342582284577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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 40 2 28 2

SPT(16)	1025508329368485317	0 20 26 50 56 90 102 104 132 134 146 180 186 210 216 236	-2013213799260
TPT(14)	1025508752963517959	0 2 48 50 78 80 132 134 162 164 168 170 222 224	-1589618766618
STPT(10)	1025509302219293327	0 2 42 44 72 74 102 104 144 146	-1040362991250
SPT(16)	1025509432070421079	0 4 90 130 138 190 250 292 300 342 402 454 462 502 588 592	-910511863498
STPT(10)	1025509456102217687	0 2 30 32 42 44 54 56 84 86	-886480066890
STPT(10)	1025509565770622687	0 2 60 62 72 74 84 86 144 146	-776811661890
STPT(10)	1025511256461332651	0 2 6 8 48 50 90 92 96 98	913879048074
TPT(14)	1025511339467435999	0 2 78 80 90 92 162 164 192 194 252 254 300 302	996885151422
SPT(16)	1025511447050429587	0 34 72 76 84 94 162 252 394 484 552 562 570 574 612 646	1104468145010
TPT(14)	1025512087923501767	0 2 114 116 120 122 162 164 240 242 252 254 264 266	1745341217190
SPT(16)	1025512982554382057	0 26 32 72 84 116 186 206 270 290 360 392 404 444 450 476	2639972097480