Prime p₀= 3005163193043769851 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: fzs600
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	3005162233667211547	0 52 72 124 160 166 172 184 252 264 270 276 312 364 384 436	-959376558304
SPT(16)	3005162644256133227	0 12 42 66 116 126 132 144 152 164 170 180 230 254 284 296	-548787636624
SPT(20)	3005162879504387663	0 18 36 90 96 120 140 164 176 206 288 318 330 354 374 398 404 458 476 494	-313539382188
STPT(10)	3005163013450350209	0 2 78 80 210 212 342 344 420 422	-179593419642
SPT(16)	3005163016742529197	0 14 42 86 126 132 170 176 210 216 254 260 300 344 372 386	-176301240654
STPT(10)	3005163064207662947	0 2 30 32 42 44 54 56 84 86	-128836106904
SPT(13)	3005163437588360527	0 36 66 84 96 120 150 180 204 216 234 264 300	244544590676
SPT(16)	3005163488751461567	0 12 36 54 66 80 84 140 186 242 246 260 272 290 314 326	295707691716
SPT(16)	3005163583227348211	0 12 18 40 60 76 82 102 106 126 132 148 168 190 196 208	390183578360
TPT(14)	3005163726308652611	0 2 96 98 138 140 180 182 216 218 288 290 300 302	533264882760
SPT(16)	3005164446341431931	0 20 32 42 62 68 72 86 102 116 120 126 146 156 168 188	1253297662080