Prime p₀= 2609051674687453319 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: Orange Kid
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2609050159123306697	0 2 30 32 42 44 54 56 84 86	-1515564146622
SPT(16)	2609050500343539137	0 26 30 42 62 86 116 132 140 156 186 210 230 242 246 272	-1174343914182
SPT(16)	2609050650686029063	0 16 40 54 78 100 138 160 204 226 264 286 310 324 348 364	-1024001424256
SPT(16)	2609050843791434233	0 60 90 156 174 184 214 256 258 300 330 340 358 424 454 514	-830896019086
SPT(16)	2609051124072301123	0 40 78 90 108 118 150 160 168 178 210 220 238 250 288 328	-550615152196
STPT(10)	2609051517035444837	0 2 42 44 72 74 102 104 144 146	-157652008482
SPT(16)	2609051763147274957	0 4 22 30 40 42 70 84 100 114 142 144 154 162 180 184	88459821638
STPT(10)	2609051959085547377	0 2 54 56 132 134 210 212 264 266	284398094058
STPT(10)	2609052508266489581	0 2 6 8 18 20 30 32 36 38	833579036262
STPT(10)	2609052828895892549	0 2 18 20 30 32 42 44 60 62	1154208439230
STPT(10)	2609052989753233487	0 2 90 92 102 104 114 116 204 206	1315065780168