Prime p₀= 2499286146763353929 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: Penguin
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2499283522565963657	0 12 20 42 44 72 80 122 132 174 182 210 212 234 242 254	-2624197390272
STPT(10)	2499284384166238619	0 2 18 20 30 32 42 44 60 62	-1762597115310
STPT(10)	2499285148454787389	0 2 12 14 90 92 168 170 180 182	-998308566540
STPT(10)	2499285381055649369	0 2 78 80 120 122 162 164 240 242	-765707704560
TPT(14)	2499285944641237721	0 2 30 32 60 62 138 140 180 182 210 212 300 302	-202122116208
SPT(16)	2499286106818994081	0 8 30 78 86 110 116 138 158 180 186 210 218 266 288 296	-39944359848
STPT(12)	2499286528342493117	0 2 42 44 54 56 60 62 72 74 114 116	381579139188
STPT(10)	2499286802704441961	0 2 30 32 78 80 126 128 156 158	655941088032
SPT(16)	2499286860205866869	0 14 24 48 78 90 102 110 132 140 152 164 194 218 228 242	713442512940
STPT(10)	2499286915988519939	0 2 42 44 60 62 78 80 120 122	769225166010
SPT(16)	2499287040853954931	0 30 66 90 108 152 216 240 308 332 396 440 458 482 518 548	894090601002