Prime p₀= 3000087169928169707 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	3000084339987063793	0 48 58 84 94 114 118 120 268 270 274 294 304 330 340 388	-2829941105914
SPT(16)	3000084687819714619	0 10 18 28 48 60 70 82 138 150 160 172 192 202 210 220	-2482108455088
SPT(16)	3000085246572876961	0 36 46 76 100 108 126 168 220 262 280 288 312 342 352 388	-1923355292746
SPT(16)	3000085311547636943	0 26 54 56 68 86 98 116 138 156 168 186 198 200 228 254	-1858380532764
SPT(16)	3000086849513563991	0 26 30 32 56 98 128 150 158 180 210 252 276 278 282 308	-320414605716
SPT(16)	3000086921642940407	0 12 42 66 80 116 122 150 176 204 210 246 260 284 314 326	-248285229300
STPT(10)	3000087210126345509	0 2 18 20 60 62 102 104 120 122	40198175802
SPT(16)	3000087942150725407	0 10 34 102 132 150 154 220 234 300 304 322 352 420 444 454	772222555700
SPT(16)	3000088085417411503	0 6 40 54 124 130 166 184 240 258 294 300 370 384 418 424	915489241796
SPT(16)	3000088829849946179	0 8 20 80 98 102 122 158 174 210 230 234 252 312 324 332	1659921776472
SPT(16)	3000089184317745197	0 12 30 90 104 152 182 230 276 324 354 402 416 476 494 506	2014389575490