Prime p₀= 817104725381375657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: marsinph
db: batch=73, k=10, 2 28 2 40 2

SPT(16)	817103316892660067	0 14 30 92 96 102 140 144 152 156 194 200 204 266 282 296	-1408488715590
SPT(16)	817103445528457081	0 22 40 66 100 108 168 178 210 220 280 288 322 348 366 388	-1279852918576
STPT(10)	817103999767768199	0 2 12 14 90 92 168 170 180 182	-725613607458
SPT(16)	817104346855277401	0 30 42 76 82 88 112 162 166 216 240 246 252 286 298 328	-378526098256
STPT(10)	817104388794002171	0 2 36 38 78 80 120 122 156 158	-336587373486
SPT(16)	817104417808346687	0 12 26 42 54 74 110 116 120 126 162 182 194 210 224 236	-307573028970
TPT(14)	817104796190748227	0 2 114 116 162 164 180 182 204 206 264 266 294 296	70809372570
SPT(16)	817105085543054423	0 14 48 68 110 126 146 150 194 198 218 234 276 296 330 344	360161678766
STPT(10)	817105169564185217	0 2 42 44 72 74 102 104 144 146	444182809560
STPT(10)	817105385247702359	0 2 48 50 90 92 132 134 180 182	659866326702
STPT(10)	817105414941186731	0 2 6 8 48 50 90 92 96 98	689559811074