Prime p₀= 2287806801205360607 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Orange Kid
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2287805401404622651	0 6 18 40 52 66 132 166 222 256 322 336 348 370 382 388	-1399800737956
SPT(16)	2287806091156569773	0 6 18 26 38 60 114 116 138 140 194 216 228 236 248 254	-710048790834
STPT(10)	2287806386451667967	0 2 30 32 72 74 114 116 144 146	-414753692640
TPT(14)	2287806595930099301	0 2 30 32 96 98 156 158 168 170 210 212 330 332	-205275261306
SPT(16)	2287806651748361977	0 6 22 120 154 172 190 192 214 216 234 252 286 384 400 406	-149456998630
SPT(16)	2287806764740751791	0 42 70 102 106 136 162 210 238 286 312 342 346 378 406 448	-36464608816
SPT(16)	2287806880428615563	0 6 24 44 54 90 128 164 180 216 254 290 300 320 338 344	79223254956
STPT(10)	2287807056014742047	0 2 30 32 60 62 90 92 120 122	254809381440
STPT(10)	2287807344108296009	0 2 18 20 30 32 42 44 60 62	542902935402
STPT(10)	2287807482997980257	0 2 30 32 72 74 114 116 144 146	681792619650
SPT(18)	2287807747524366037	0 24 54 70 130 192 204 222 232 252 262 280 292 354 414 430 460 484	946319005430