Prime p₀= 4092741576036260429 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: [AF>WildWildWest]Sebastien
db: batch=84, k=10, 2 16 2 40 2

SPT(16)	4092740519728830197	0 20 50 176 182 204 246 272 324 350 392 414 420 546 576 596	-1056307430232
STPT(10)	4092740665696741517	0 2 30 32 42 44 54 56 84 86	-910339518912
SPT(16)	4092740875281048271	0 12 30 46 58 72 88 100 108 120 136 150 162 178 196 208	-700755212158
SPT(16)	4092741202897689967	0 10 22 30 72 100 136 210 226 300 336 364 406 414 426 436	-373138570462
STPT(12)	4092741360606602321	0 2 36 38 48 50 78 80 90 92 126 128	-215429658108
STPT(10)	4092741488962982027	0 2 30 32 42 44 54 56 84 86	-87073278402
STPT(10)	4092741920075935031	0 2 6 8 48 50 90 92 96 98	344039674602
SPT(16)	4092742503455236459	0 24 58 100 160 190 222 240 412 430 462 492 552 594 628 652	927418976030
STPT(10)	4092742906929504797	0 2 30 32 72 74 114 116 144 146	1330893244368
SPT(16)	4092743007814054609	0 10 22 42 58 60 108 190 192 274 322 324 340 360 372 382	1431777794180
STPT(10)	4092743123148526277	0 2 54 56 72 74 90 92 144 146	1547112265848