Prime p₀= 3879091440327420011 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Conan
db: batch=84, k=10, 2 28 2 28 2

STPT(10)	3879089399740952471	0 2 6 8 48 50 90 92 96 98	-2040586467540
SPT(16)	3879089745955047413	0 6 74 126 140 164 216 230 270 284 336 360 374 426 494 500	-1694372372598
SPT(16)	3879090029630039267	0 36 66 170 182 192 240 242 294 296 344 354 366 470 500 536	-1410697380744
STPT(10)	3879090965549599529	0 2 72 74 120 122 168 170 240 242	-474777820482
SPT(16)	3879091011386513969	0 48 72 78 132 138 140 210 230 300 302 308 362 368 392 440	-428940906042
SPT(16)	3879091260658087379	0 24 72 90 104 110 164 182 222 240 294 300 314 332 380 404	-179669332632
SPT(16)	3879091831422653519	0 14 38 42 48 78 84 104 108 128 134 164 170 174 198 212	391095233508
STPT(10)	3879092267461030559	0 2 30 32 60 62 90 92 120 122	827133610548
SPT(16)	3879092522483706833	0 26 50 60 96 126 134 140 180 186 194 224 260 270 294 320	1082156286822
STPT(10)	3879093812168889887	0 2 24 26 42 44 60 62 84 86	2371841469876
SPT(16)	3879094497536304217	0 36 52 72 94 132 174 210 226 262 304 342 364 384 400 436	3057208884206