Prime p₀= 1235123749358827577 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-2W]Kurzer
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1235122972102274621	0 18 32 42 48 92 98 150 158 210 216 260 266 276 290 308	-777256552956
SPT(16)	1235123248660129099	0 12 52 118 124 144 150 160 222 232 238 258 264 330 370 382	-500698698478
STPT(12)	1235123264158430069	0 2 12 14 90 92 132 134 210 212 222 224	-485200397508
SPT(16)	1235123374896172841	0 18 32 50 92 158 206 210 248 252 300 366 408 426 440 458	-374462654736
STPT(10)	1235123626573195517	0 2 12 14 72 74 132 134 144 146	-122785632060
STPT(10)	1235123667733621871	0 2 6 8 18 20 30 32 36 38	-81625205706
SPT(16)	1235123969691831259	0 34 42 88 108 118 150 160 222 232 264 274 294 340 348 382	220333003682
SPT(16)	1235124270572907511	0 18 46 82 112 130 150 168 220 238 258 276 306 342 370 388	521214079934
SPT(16)	1235124696031981973	0 8 14 66 144 210 218 264 290 336 344 410 488 540 546 554	946673154396
SPT(16)	1235124897397013789	0 14 38 48 62 84 90 92 150 152 158 180 194 204 228 242	1148038186212
TPT(14)	1235124966883181111	0 2 6 8 36 38 138 140 150 152 216 218 306 308	1217524353534