Prime p₀= 3096789441397637717 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: JayPi
db: batch=83, k=10, 2 28 2 10 2

STPT(16)	3096788644679968937	0 2 12 14 30 32 54 56 240 242 264 266 282 284 294 296	-796717668780
SPT(16)	3096788644679968937	0 2 12 14 30 32 54 56 240 242 264 266 282 284 294 296	-796717668780
STPT(10)	3096788823812945717	0 2 30 32 42 44 54 56 84 86	-617584692000
SPT(16)	3096788963702042647	0 10 24 90 112 142 150 202 234 286 294 324 346 412 426 436	-477695595070
SPT(18)	3096789315125089471	0 30 70 72 76 82 88 112 118 150 156 180 186 192 196 198 238 268	-126272548246
SPT(16)	3096789322982648521	0 40 46 60 72 96 112 132 166 186 202 226 238 252 258 298	-118414989196
SPT(16)	3096789828505096403	0 30 60 66 80 86 96 164 186 254 264 270 284 290 320 350	387107458686
STPT(10)	3096790047323819447	0 2 30 32 42 44 54 56 84 86	605926181730
TPT(14)	3096790312941226169	0 2 48 50 78 80 168 170 228 230 240 242 288 290	871543588452
TPT(16)	3096790333659411041	0 2 30 32 120 122 300 302 330 332 396 398 408 410 498 500	892261773324
STPT(10)	3096790792262893907	0 2 24 26 42 44 60 62 84 86	1350865256190