Prime p₀= 2302364317327750589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: FritzB
db: batch=81, k=10, 2 10 2 76 2

STPT(12)	2302363427521763657	0 2 30 32 42 44 120 122 132 134 162 164	-889805986932
TPT(14)	2302363519411532021	0 2 18 20 90 92 156 158 168 170 198 200 228 230	-797916218568
SPT(16)	2302363605983978651	0 6 90 116 168 188 206 248 270 312 330 350 402 428 512 518	-711343771938
TPT(16)	2302364154453836567	0 2 54 56 90 92 150 152 174 176 180 182 204 206 222 224	-162873914022
STPT(10)	2302364172518444759	0 2 48 50 90 92 132 134 180 182	-144809305830
STPT(10)	2302364188608519821	0 2 30 32 60 62 90 92 120 122	-128719230768
STPT(10)	2302364775930942167	0 2 30 32 42 44 54 56 84 86	458603191578
SPT(16)	2302365189914126083	0 28 36 70 96 118 126 138 148 160 168 190 216 250 258 286	872586375494
SPT(16)	2302365221851824659	0 14 90 98 104 164 270 278 300 308 414 474 480 488 564 578	904524074070
SPT(18)	2302365717620343083	0 24 30 38 80 90 98 108 174 284 350 360 368 378 420 428 434 458	1400292592494
SPT(16)	2302365750435805837	0 24 52 124 142 150 154 184 222 252 256 264 282 354 382 406	1433108055248