Prime p₀= 2727004939302427739 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: conf [MM]
db: batch=82, k=10, 2 46 2 40 2

SPT(20)	2727002919906598313	0 30 54 60 116 126 140 156 164 224 336 396 404 420 434 444 500 506 530 560	-2019395829426
SPT(16)	2727003002734680011	0 6 20 38 68 86 90 122 156 188 192 210 240 258 272 278	-1936567747728
SPT(16)	2727003537455150909	0 2 14 48 74 92 104 134 138 168 180 198 224 258 270 272	-1401847276830
SPT(16)	2727003540761087669	0 68 72 78 92 158 170 182 198 210 222 288 302 308 312 380	-1398541340070
TPT(14)	2727003695233088177	0 2 12 14 60 62 240 242 282 284 324 326 462 464	-1244069339562
SPT(16)	2727004120217796973	0 4 46 54 108 124 136 166 198 228 240 256 310 318 360 364	-819084630766
SPT(16)	2727005026833064091	0 2 32 48 78 80 182 188 312 318 420 422 452 468 498 500	87530636352
STPT(10)	2727005294229414479	0 2 138 140 180 182 222 224 360 362	354926986740
SPT(16)	2727005450949967729	0 12 64 112 114 198 288 322 330 364 454 538 540 588 640 652	511647539990
STPT(10)	2727005606139554741	0 2 126 128 138 140 150 152 276 278	666837127002
STPT(10)	2727005893808086799	0 2 18 20 30 32 42 44 60 62	954505659060