Prime p₀= 2309224946980420277 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Orange Kid
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2309223576898747163	0 6 30 48 84 110 114 134 180 200 204 230 266 284 308 314	-1370081673114
STPT(10)	2309224014281915849	0 2 18 20 30 32 42 44 60 62	-932698504428
TPT(14)	2309224128043541207	0 2 30 32 42 44 72 74 90 92 102 104 114 116	-818936879070
STPT(10)	2309224175912879801	0 2 36 38 78 80 120 122 156 158	-771067540476
STPT(10)	2309224400598797567	0 2 30 32 42 44 54 56 84 86	-546381622710
STPT(10)	2309224471040486927	0 2 54 56 72 74 90 92 144 146	-475939933350
SPT(16)	2309225118032334553	0 34 78 88 100 106 126 148 156 178 198 204 216 226 270 304	171051914276
SPT(16)	2309225465158178653	0 36 88 94 106 126 150 160 204 214 238 258 270 276 328 364	518177758376
SPT(16)	2309225522588671007	0 2 26 62 66 74 102 114 182 194 222 230 234 270 294 296	575608250730
TPT(14)	2309226316818216161	0 2 60 62 120 122 156 158 168 170 210 212 288 290	1369837795884
SPT(16)	2309226377290856291	0 6 20 38 98 108 132 146 192 206 230 240 300 318 332 338	1430310436014