Prime p₀= 2688141656562443909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2688140879738862617	0 6 20 42 44 62 84 146 150 212 234 252 254 276 290 296	-776823581292
TPT(14)	2688140945333324729	0 2 42 44 48 50 78 80 138 140 318 320 342 344	-711229119180
STPT(12)	2688141129069337757	0 2 12 14 30 32 72 74 90 92 102 104	-527493106152
SPT(16)	2688141233182647083	0 6 44 48 84 116 156 168 176 188 228 260 296 300 338 344	-423379796826
SPT(16)	2688141234813594727	0 30 34 84 90 114 150 172 264 286 322 346 352 402 406 436	-421748849182
STPT(10)	2688141257450467451	0 2 6 8 48 50 90 92 96 98	-399111976458
STPT(10)	2688141663414903539	0 2 18 20 30 32 42 44 60 62	6852459630
STPT(10)	2688141770892023351	0 2 6 8 48 50 90 92 96 98	114329579442
SPT(16)	2688141799340614207	0 10 24 30 54 66 70 76 90 96 100 112 136 142 156 166	142778170298
STPT(10)	2688141997044093209	0 2 12 14 90 92 168 170 180 182	340481649300
SPT(16)	2688142028210631679	0 4 18 30 52 60 64 84 88 108 112 120 142 154 168 172	371648187770