Prime p₀= 1167075719705721347 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: Theadalus
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1167073901615429707	0 6 40 60 72 76 102 126 130 154 180 184 196 216 250 256	-1818090291640
SPT(16)	1167074679135625433	0 38 56 90 98 104 110 164 210 264 270 276 284 318 336 374	-1040570095914
SPT(16)	1167074790239201143	0 18 28 48 54 84 94 234 244 384 394 424 430 450 460 478	-929466520204
STPT(10)	1167074877714040871	0 2 36 38 78 80 120 122 156 158	-841991680476
SPT(16)	1167075291876371749	0 18 22 42 112 138 172 180 280 288 322 348 418 438 442 460	-427829349598
SPT(16)	1167075430343168611	0 58 90 102 132 136 150 160 168 178 192 196 226 238 270 328	-289362552736
TPT(14)	1167075964505544551	0 2 6 8 66 68 78 80 96 98 126 128 150 152	244799823204
SPT(16)	1167076460920470041	0 6 62 78 102 116 126 186 212 272 282 296 320 336 392 398	741214748694
STPT(12)	1167076600040687387	0 2 30 32 120 122 162 164 252 254 282 284	880334966040
SPT(16)	1167076729549683331	0 42 46 58 70 112 126 136 162 172 186 228 240 252 256 298	1009843961984
SPT(16)	1167077202901258919	0 50 84 110 168 264 308 344 384 420 464 560 618 644 678 728	1483195537572