Prime p₀= 3064950453174174137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: L@MiR
db: batch=83, k=10, 2 22 2 16 2

STPT(10)	3064949532687233687	0 2 60 62 72 74 84 86 144 146	-920486940450
STPT(10)	3064949542108730501	0 2 36 38 78 80 120 122 156 158	-911065443636
STPT(12)	3064949834790202901	0 2 78 80 90 92 168 170 180 182 258 260	-618383971236
STPT(10)	3064949874195804149	0 2 18 20 60 62 102 104 120 122	-578978369988
STPT(10)	3064950262286198969	0 2 42 44 90 92 138 140 180 182	-190887975168
SPT(16)	3064950272848351289	0 20 44 54 78 84 150 188 240 278 344 350 374 384 408 428	-180325822848
STPT(10)	3064951001764071347	0 2 30 32 72 74 114 116 144 146	548589897210
SPT(16)	3064951478187622193	0 20 30 36 66 78 80 104 150 174 176 188 218 224 234 254	1025013448056
SPT(16)	3064951536878598503	0 14 36 48 66 120 146 230 234 318 344 398 416 428 450 464	1083704424366
STPT(10)	3064951579315837529	0 2 42 44 90 92 138 140 180 182	1126141663392
STPT(12)	3064951744476856061	0 2 36 38 48 50 78 80 90 92 126 128	1291302681924