Prime p₀= 2309739005700012119 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: FritzB
db: batch=81, k=10, 2 46 2 10 2

STPT(10)	2309737534047193037	0 2 12 14 72 74 132 134 144 146	-1471652819082
SPT(16)	2309737615142723057	0 12 26 96 120 134 144 180 206 242 252 266 290 360 374 386	-1390557289062
SPT(16)	2309737736215801607	0 6 30 72 84 104 144 162 224 242 282 302 314 356 380 386	-1269484210512
STPT(10)	2309738013775566131	0 2 6 8 18 20 30 32 36 38	-991924445988
SPT(16)	2309738338630419449	0 8 60 84 90 102 128 140 162 174 200 212 218 242 294 302	-667069592670
SPT(16)	2309738600275702439	0 2 8 32 68 78 90 98 174 182 194 204 240 264 270 272	-405424309680
STPT(10)	2309739074659700939	0 2 12 14 90 92 168 170 180 182	68959688820
STPT(10)	2309739898270995887	0 2 54 56 72 74 90 92 144 146	892570983768
STPT(10)	2309740068910795877	0 2 30 32 72 74 114 116 144 146	1063210783758
SPT(16)	2309740670272904867	0 12 36 42 74 104 110 180 356 426 432 462 494 500 524 536	1664572892748
SPT(16)	2309740766845048123	0 30 34 88 94 108 184 186 208 210 286 300 306 360 364 394	1761145036004