Prime p₀= 2679800430202862147 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2679798559824037649	0 50 84 98 110 114 128 132 140 144 158 162 174 188 222 272	-1870378824498
SPT(16)	2679798604172190223	0 30 60 64 84 154 156 184 240 268 270 340 360 364 394 424	-1826030671924
SPT(16)	2679798898208916881	0 36 50 60 66 80 126 150 158 182 228 242 248 258 272 308	-1531993945266
SPT(16)	2679799496444511941	0 38 48 78 90 140 170 258 290 378 408 458 470 500 510 548	-933758350206
TPT(14)	2679799552557296759	0 2 18 20 30 32 78 80 252 254 258 260 282 284	-877645565388
STPT(10)	2679800392997506277	0 2 30 32 72 74 114 116 144 146	-37205355870
TPT(14)	2679800829350290409	0 2 78 80 150 152 210 212 252 254 288 290 360 362	399147428262
SPT(16)	2679800966697690371	0 12 20 26 42 72 90 110 132 152 170 200 216 222 230 242	536494828224
SPT(16)	2679801520098233903	0 14 30 50 66 80 86 140 144 198 204 218 234 254 270 284	1089895371756
SPT(16)	2679801578291436827	0 42 44 50 120 174 194 236 330 372 392 446 516 522 524 566	1148088574680
STPT(10)	2679801777236009759	0 2 12 14 90 92 168 170 180 182	1347033147612