Prime p₀= 1269122307866486831 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: mikey
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1269120415659522281	0 8 42 62 66 78 86 122 126 162 170 182 186 206 240 248	-1892206964550
STPT(10)	1269120704238060431	0 2 6 8 18 20 30 32 36 38	-1603628426400
SPT(16)	1269120720349187639	0 14 24 50 90 110 150 180 248 278 318 338 378 404 414 428	-1587517299192
SPT(16)	1269121566998413747	0 12 82 84 114 142 150 156 190 196 204 232 262 264 334 346	-740868073084
SPT(16)	1269121650558976171	0 6 12 42 58 72 88 102 166 180 196 210 226 256 262 268	-657307510660
TPT(14)	1269121867594005179	0 2 72 74 210 212 228 230 360 362 408 410 432 434	-440272481652
SPT(16)	1269122411932680901	0 10 40 66 72 96 100 102 136 138 142 166 172 198 228 238	104066194070
STPT(10)	1269122699018045717	0 2 24 26 42 44 60 62 84 86	391151558886
TPT(14)	1269122815638392579	0 2 18 20 72 74 132 134 210 212 390 392 408 410	507771905748
SPT(16)	1269124393946407039	0 12 40 114 172 210 240 262 312 334 364 402 460 534 562 574	2086079920208
STPT(10)	1269124507948515311	0 2 30 32 60 62 90 92 120 122	2200082028480