Prime p₀= 2302036618721687171 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: FritzB
db: batch=81, k=10, 2 34 2 40 2

STPT(10)	2302036061023847411	0 2 6 8 48 50 90 92 96 98	-557697839760
SPT(16)	2302036309433868107	0 6 24 60 74 132 150 192 284 326 344 402 416 452 470 476	-309287819064
SPT(16)	2302036324395301829	0 32 54 80 90 104 110 114 140 144 150 164 174 200 222 254	-294326385342
STPT(10)	2302036404157388399	0 2 48 50 90 92 132 134 180 182	-214564298772
SPT(16)	2302036439068298237	0 32 62 74 84 114 134 156 230 252 272 302 312 324 354 386	-179653388934
SPT(16)	2302036617418730779	0 4 10 28 42 48 52 70 72 90 94 100 114 132 138 142	-1302956392
SPT(16)	2302036671998882807	0 14 20 32 36 146 176 192 284 300 330 440 444 456 462 476	53277195636
SPT(16)	2302036882665059593	0 6 16 40 70 76 166 190 216 240 330 336 366 390 400 406	263943372422
SPT(16)	2302037158587913081	0 12 40 58 60 102 112 132 136 156 166 208 210 228 256 268	539866225910
STPT(10)	2302037445356817197	0 2 30 32 42 44 54 56 84 86	826635130026
STPT(10)	2302037715136876859	0 2 18 20 30 32 42 44 60 62	1096415189688