Prime p₀= 2664614791325787269 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: JonS
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2664613751885074657	0 10 42 52 70 76 90 132 184 226 240 246 264 274 306 316	-1039440712612
TPT(14)	2664613881158672321	0 2 30 32 48 50 60 62 180 182 216 218 378 380	-910167114948
SPT(16)	2664613950351127169	0 2 20 30 50 54 68 90 92 114 128 132 152 162 180 182	-840974660100
SPT(16)	2664613983018084233	0 36 50 96 156 170 224 234 266 276 330 344 404 450 464 500	-808307703036
STPT(10)	2664614528960296349	0 2 48 50 90 92 132 134 180 182	-262365490920
STPT(10)	2664614731450288157	0 2 90 92 102 104 114 116 204 206	-59875499112
SPT(16)	2664614837540035693	0 34 40 54 60 70 84 148 186 250 264 274 280 294 300 334	46214248424
SPT(16)	2664615114317798627	0 14 20 32 60 62 66 96 110 140 144 146 174 186 192 206	322992011358
STPT(10)	2664615855422960837	0 2 30 32 72 74 114 116 144 146	1064097173568
STPT(10)	2664616063104795101	0 2 30 32 78 80 126 128 156 158	1271779007832
STPT(10)	2664616446138017867	0 2 12 14 42 44 72 74 84 86	1654812230598