Prime p₀= 2658978089802309017 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: raddoc
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2658976483770899137	0 6 16 66 94 96 114 154 156 196 214 216 244 294 304 310	-1606031409880
STPT(10)	2658976812460546769	0 2 72 74 120 122 168 170 240 242	-1277341762248
SPT(16)	2658977119925756521	0 30 42 66 82 100 126 190 198 262 288 306 322 346 358 388	-969876552496
STPT(10)	2658977358372823097	0 2 30 32 42 44 54 56 84 86	-731429485920
SPT(16)	2658977600992059871	0 12 16 30 72 82 132 166 186 220 270 280 322 336 340 352	-488810249146
SPT(16)	2658977776223060203	0 4 16 18 30 66 88 94 150 156 178 214 226 228 240 244	-313579248814
STPT(10)	2658978177206946767	0 2 42 44 72 74 102 104 144 146	87404637750
SPT(16)	2658978396092659423	0 16 30 40 66 84 96 150 184 238 250 268 294 304 318 334	306290350406
SPT(16)	2658978453720410821	0 6 10 30 70 76 88 96 172 180 192 198 238 258 262 268	363918101804
SPT(16)	2658978718833608671	0 16 22 30 36 40 48 70 78 100 108 112 118 126 132 148	629031299654
SPT(16)	2658978738217674259	0 52 78 114 228 282 298 330 352 384 400 454 568 604 630 682	648415365242