Prime p₀= 1017817795593527021 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: Theadalus
db: batch=76, k=10, 2 28 2 28 2

STPT(12)	1017816873854161037	0 2 42 44 54 56 60 62 72 74 114 116	-921739365984
SPT(16)	1017816901415989541	0 38 62 86 126 152 170 236 252 318 336 362 402 426 450 488	-894177537480
STPT(10)	1017817009989443099	0 2 42 44 60 62 78 80 120 122	-785604083922
STPT(10)	1017817098080994221	0 2 6 8 48 50 90 92 96 98	-697512532800
STPT(10)	1017817160274549329	0 2 30 32 60 62 90 92 120 122	-635318977692
SPT(16)	1017817291981670897	0 80 90 92 150 182 194 222 302 330 342 374 432 434 444 524	-503611856124
STPT(10)	1017818083030296089	0 2 12 14 90 92 168 170 180 182	287436769068
SPT(16)	1017818142429669769	0 30 34 42 58 70 114 118 174 178 222 234 250 258 262 292	346836142748
SPT(16)	1017818531480710469	0 2 32 42 48 54 74 104 108 138 158 164 170 180 210 212	735887183448
SPT(16)	1017818770613885269	0 28 42 58 100 144 150 178 204 232 238 282 324 340 354 382	975020358248
TPT(14)	1017819104977219547	0 2 30 32 60 62 90 92 114 116 162 164 210 212	1309383692526