Prime p₀= 2315756016979147229 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Orange Kid
db: batch=81, k=10, 2 46 2 40 2

SPT(16)	2315754705359573417	0 2 84 90 102 104 122 146 210 234 252 254 266 272 354 356	-1311619573812
STPT(10)	2315754945483822767	0 2 12 14 42 44 72 74 84 86	-1071495324462
SPT(16)	2315755144646857051	0 28 40 66 78 112 120 132 196 208 216 250 262 288 300 328	-872332290178
TPT(14)	2315755398583917077	0 2 30 32 60 62 72 74 102 104 210 212 324 326	-618395230152
STPT(10)	2315755522042028159	0 2 30 32 60 62 90 92 120 122	-494937119070
STPT(10)	2315755952140807871	0 2 30 32 60 62 90 92 120 122	-64838339358
STPT(10)	2315756303691373679	0 2 12 14 90 92 168 170 180 182	286712226450
SPT(16)	2315756820756174121	0 100 102 118 126 130 160 172 186 198 228 232 240 256 258 358	803777026892
STPT(10)	2315756867233916471	0 2 30 32 78 80 126 128 156 158	850254769242
SPT(16)	2315756929502914201	0 12 28 36 42 90 106 150 178 222 238 286 292 300 316 328	912523766972
SPT(18)	2315757035763468127	0 36 90 106 112 154 210 244 276 340 372 406 462 504 510 526 580 616	1018784320898