Prime p₀= 1092557666875826027 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: crashtech
db: batch=76, k=10, 2 28 2 28 2

STPT(10)	1092556236980143721	0 2 30 32 78 80 126 128 156 158	-1429895682306
SPT(16)	1092556440361158259	0 18 42 60 88 102 138 198 214 274 310 324 352 370 394 412	-1226514667768
SPT(16)	1092557258660705597	0 6 12 86 126 146 152 156 170 174 180 200 240 314 320 326	-408215120430
STPT(10)	1092557394595398629	0 2 42 44 60 62 78 80 120 122	-272280427398
SPT(16)	1092557425213419821	0 32 38 96 116 132 168 182 186 200 236 252 272 330 336 368	-241662406206
TPT(14)	1092557545015272977	0 2 42 44 114 116 144 146 174 176 210 212 264 266	-121860553050
STPT(10)	1092558056655755927	0 2 30 32 42 44 54 56 84 86	389779929900
STPT(10)	1092558192298231457	0 2 30 32 42 44 54 56 84 86	525422405430
SPT(16)	1092558867874408079	0 18 32 48 62 74 92 98 354 360 378 390 404 420 434 452	1200998582052
STPT(10)	1092559295239163597	0 2 24 26 42 44 60 62 84 86	1628363337570
SPT(16)	1092559531541225437	0 6 22 42 100 120 154 156 160 162 196 216 274 294 310 316	1864665399410