Prime p₀= 2259442880358957479 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Euphoriabuzz
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2259441965312692619	0 2 18 20 30 32 42 44 60 62	-915046264860
SPT(16)	2259442027106149981	0 18 36 42 60 88 142 168 190 216 270 298 316 322 340 358	-853252807498
SPT(16)	2259442230430821367	0 10 12 22 42 54 64 84 220 240 250 262 282 292 294 304	-649928136112
SPT(16)	2259442254964566713	0 6 20 38 44 84 98 104 210 216 230 270 276 294 308 314	-625394390766
SPT(16)	2259442370303087887	0 22 40 102 124 126 136 144 172 180 190 192 214 276 294 316	-510055869592
STPT(10)	2259442622854774109	0 2 18 20 30 32 42 44 60 62	-257504183370
TPT(14)	2259443083663857941	0 2 36 38 66 68 78 80 90 92 126 128 246 248	203304900462
SPT(16)	2259443180878857559	0 10 24 28 54 88 102 124 138 160 174 208 234 238 252 262	300519900080
SPT(16)	2259443308062425501	0 8 18 32 48 122 132 150 158 176 186 260 276 290 300 308	427703468022
SPT(16)	2259443362101333887	0 6 30 44 66 150 212 222 224 234 296 380 402 416 440 446	481742376408
SPT(16)	2259443492731869077	0 62 96 104 110 132 144 156 170 182 194 216 222 230 264 326	612372911598