Prime p₀= 816355785415834709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: marsinph
db: batch=73, k=10, 2 40 2 46 2

SPT(16)	816355136963489999	0 30 108 122 134 144 152 170 192 210 218 228 240 254 332 362	-648452344710
STPT(12)	816355369752408509	0 2 18 20 48 50 210 212 240 242 258 260	-415663426200
SPT(16)	816355520744380657	0 36 42 46 102 106 112 150 166 204 210 214 270 274 280 316	-264671454052
STPT(10)	816355570640378771	0 2 36 38 78 80 120 122 156 158	-214775455938
STPT(10)	816355706403705497	0 2 30 32 42 44 54 56 84 86	-79012129212
TPT(14)	816355707779673401	0 2 90 92 138 140 390 392 480 482 558 560 618 620	-77636161308
SPT(16)	816355972949155567	0 22 36 60 64 70 76 82 84 90 96 102 106 130 144 166	187533320858
SPT(16)	816356223616943557	0 6 22 94 126 162 172 210 346 384 394 430 462 534 550 556	438201108848
SPT(16)	816356314134523237	0 6 10 12 52 126 130 132 214 216 220 294 334 336 340 346	528718688528
STPT(10)	816356578170881777	0 2 12 14 42 44 72 74 84 86	792755047068
SPT(16)	816356876104920793	0 18 34 40 96 108 130 156 238 264 286 298 354 360 376 394	1090689086084