Prime p₀= 1311706969189538837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Conan
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1311705810470873957	0 2 12 14 42 44 72 74 84 86	-1158718664880
SPT(16)	1311705878328589417	0 4 76 90 120 156 160 172 174 186 190 226 256 270 342 346	-1090860949420
SPT(16)	1311706010175025951	0 6 16 28 48 132 142 180 238 276 286 370 390 402 412 418	-959014512886
SPT(16)	1311706056831464167	0 12 34 46 66 84 124 126 220 222 262 280 300 312 334 346	-912358074670
SPT(16)	1311706495081398301	0 6 12 78 88 100 106 156 172 222 228 240 250 316 322 328	-474108140536
SPT(16)	1311706912332038267	0 56 110 146 156 174 182 222 224 264 272 290 300 336 390 446	-56857500570
STPT(12)	1311707178903057089	0 2 72 74 102 104 138 140 168 170 240 242	209713518252
SPT(16)	1311707303475388067	0 2 30 56 80 96 152 182 204 234 290 306 330 356 384 386	334285849230
STPT(10)	1311707706900384767	0 2 30 32 42 44 54 56 84 86	737710845930
STPT(10)	1311707920051065077	0 2 30 32 72 74 114 116 144 146	950861526240
SPT(16)	1311708015208999217	0 6 36 62 66 90 110 132 140 162 182 206 210 236 266 272	1046019460380