Prime p₀= 2309741222579808707 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: FritzB
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2309739898270995887	0 2 54 56 72 74 90 92 144 146	-1324308812820
STPT(10)	2309740068910795877	0 2 30 32 72 74 114 116 144 146	-1153669012830
SPT(16)	2309740670272904867	0 12 36 42 74 104 110 180 356 426 432 462 494 500 524 536	-552306903840
SPT(16)	2309740766845048123	0 30 34 88 94 108 184 186 208 210 286 300 306 360 364 394	-455734760584
SPT(16)	2309741135145254861	0 8 36 102 150 198 206 242 246 282 290 338 386 452 480 488	-87434553846
STPT(10)	2309741218510760537	0 2 24 26 42 44 60 62 84 86	-4069048170
TPT(14)	2309741334277070537	0 2 30 32 42 44 54 56 114 116 252 254 294 296	111697261830
SPT(16)	2309741365114825171	0 22 70 76 78 88 90 112 126 148 150 160 162 168 216 238	142535016464
SPT(16)	2309741684664615181	0 18 40 78 100 148 256 268 378 390 498 546 568 606 628 646	462084806474
STPT(10)	2309741778490053497	0 2 72 74 102 104 132 134 204 206	555910244790
STPT(10)	2309742204683272661	0 2 30 32 78 80 126 128 156 158	982103463954