Prime p₀= 1314009020502838271 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 40 2 40 2 64 2 (?)
a_n: 0 2 66 68 108 110 150 152 216 218
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: 218
Found by: HenkM
db: batch=77, k=10, 2 64 2 40 2

SPT(16)	1314007238775042859	0 22 34 60 78 90 120 150 172 202 232 244 262 288 300 322	-1781727795412
STPT(10)	1314007314286341329	0 2 48 50 90 92 132 134 180 182	-1706216496942
SPT(16)	1314007640446188613	0 58 70 76 106 118 148 150 154 156 186 198 228 234 246 304	-1380056649658
SPT(16)	1314007648243550419	0 34 64 108 118 130 148 150 298 300 318 330 340 384 414 448	-1372259287852
SPT(16)	1314008692744372349	0 20 54 72 92 102 104 132 140 168 170 180 200 218 252 272	-327758465922
SPT(16)	1314008896788600503	0 86 96 134 138 186 194 200 204 210 218 266 270 308 318 404	-123714237768
STPT(10)	1314009043216804547	0 2 30 32 42 44 54 56 84 86	22713966276
SPT(16)	1314009206026625971	0 18 22 36 46 100 126 136 162 172 198 252 262 276 280 298	185523787700
SPT(16)	1314009320816214821	0 8 12 36 78 86 110 120 128 138 162 170 212 236 240 248	300313376550
STPT(12)	1314009527033731037	0 2 12 14 24 26 30 32 42 44 54 56	506530892766
STPT(10)	1314009595203584297	0 2 42 44 72 74 102 104 144 146	574700746026