Prime p₀= 2166441594980377877 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-FC] hl
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2166441109473251591	0 8 38 56 66 78 128 156 170 198 248 260 270 288 318 326	-485507126286
SPT(16)	2166441452335801163	0 20 24 48 56 164 168 194 300 326 330 438 446 470 474 494	-142644576714
SPT(16)	2166441466448123629	0 30 52 88 108 154 172 234 238 300 318 364 384 420 442 472	-128532254248
TPT(14)	2166441481661149739	0 2 90 92 102 104 138 140 222 224 258 260 270 272	-113319228138
STPT(12)	2166441481661149829	0 2 12 14 48 50 132 134 168 170 180 182	-113319228048
STPT(10)	2166441574000419839	0 2 12 14 30 32 48 50 60 62	-20979958038
SPT(16)	2166441844574924629	0 52 70 130 154 234 238 270 292 324 328 408 432 492 510 562	249594546752
STPT(10)	2166442358643487271	0 2 6 8 48 50 90 92 96 98	763663109394
SPT(16)	2166442412765758879	0 10 24 52 192 204 250 292 390 432 478 490 630 658 672 682	817785381002
STPT(10)	2166442456420111781	0 2 6 8 18 20 30 32 36 38	861439733904
SPT(16)	2166442478778053479	0 84 132 142 160 174 180 204 238 262 268 282 300 310 358 442	883797675602