Prime p₀= 2646722786560467911 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2646721857731354363	0 38 56 60 80 86 108 120 164 176 198 204 224 228 246 284	-928829113548
STPT(10)	2646721918427226119	0 2 18 20 30 32 42 44 60 62	-868133241792
STPT(10)	2646722014430304929	0 2 18 20 30 32 42 44 60 62	-772130162982
SPT(16)	2646722096877970123	0 28 34 36 48 94 136 166 258 288 330 376 388 390 396 424	-689682497788
STPT(10)	2646722288236731119	0 2 48 50 60 62 72 74 120 122	-498323736792
SPT(16)	2646722339416927859	0 2 8 50 150 152 198 230 282 314 360 362 462 504 510 512	-447143540052
SPT(16)	2646722922027696299	0 2 42 68 72 74 78 102 110 134 138 140 144 170 210 212	135467228388
SPT(16)	2646722928995679791	0 6 8 12 36 50 66 78 110 122 138 152 176 180 182 188	142435211880
SPT(16)	2646723878755990141	0 6 42 78 82 106 108 142 216 250 252 276 280 316 352 358	1092195522230
SPT(16)	2646723929339835221	0 2 6 18 56 62 92 122 126 156 186 192 230 242 246 248	1142779367310
SPT(16)	2646724113934821779	0 8 24 42 50 84 102 104 138 140 158 192 200 218 234 242	1327374353868