Prime p₀= 2309720182963960979 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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 16 2 40 2

STPT(10)	2309718434942498549	0 2 12 14 30 32 48 50 60 62	-1748021462430
STPT(10)	2309718712512102887	0 2 30 32 72 74 114 116 144 146	-1470451858092
STPT(10)	2309718908542245659	0 2 18 20 30 32 42 44 60 62	-1274421715320
STPT(10)	2309719077090201767	0 2 42 44 72 74 102 104 144 146	-1105873759212
STPT(10)	2309719261282328681	0 2 30 32 60 62 90 92 120 122	-921681632298
SPT(16)	2309720077467921439	0 18 48 52 54 72 94 168 184 258 280 298 300 304 334 352	-105496039540
STPT(10)	2309720205999981527	0 2 30 32 42 44 54 56 84 86	23036020548
SPT(16)	2309720642280051029	0 8 14 42 60 74 78 102 110 134 138 152 170 198 204 212	459316090050
SPT(16)	2309720751245418671	0 2 20 72 80 90 96 132 290 326 332 342 350 402 420 422	568281457692
SPT(16)	2309720823927509483	0 14 18 36 44 84 86 110 144 168 170 210 218 236 240 254	640963548504
SPT(16)	2309721048733917901	0 60 70 76 78 108 136 148 150 162 190 220 222 228 238 298	865769956922