Prime p₀= 2310333871693949999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: FritzB
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2310332774919043009	0 22 24 28 72 94 100 174 178 252 258 280 324 328 330 352	-1096774906990
STPT(10)	2310332797157430047	0 2 30 32 60 62 90 92 120 122	-1074536519952
SPT(16)	2310332968419203587	0 46 54 70 72 90 100 112 144 156 166 184 186 202 210 256	-903274746412
STPT(10)	2310333298341478349	0 2 18 20 60 62 102 104 120 122	-573352471650
SPT(16)	2310333331442962957	0 22 52 60 76 102 106 126 130 150 154 180 196 204 234 256	-540250987042
SPT(16)	2310333827120732339	0 12 62 98 134 164 170 198 314 342 348 378 414 450 500 512	-44573217660
STPT(10)	2310333982151922407	0 2 90 92 102 104 114 116 204 206	110457972408
STPT(10)	2310334007413381289	0 2 18 20 30 32 42 44 60 62	135719431290
STPT(10)	2310334167323155121	0 2 36 38 78 80 120 122 156 158	295629205122
SPT(16)	2310334737260119399	0 18 64 70 88 240 252 264 298 310 322 474 492 498 544 562	865566169400
SPT(16)	2310334738689220447	0 36 42 54 64 70 102 112 114 124 156 162 172 184 190 226	866995270448