Prime p₀= 1012157469046146749 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: HenkM
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1012156225235121677	0 2 42 44 72 74 102 104 144 146	-1243811025072
STPT(10)	1012156447507774067	0 2 30 32 72 74 114 116 144 146	-1021538372682
STPT(10)	1012156817006363009	0 2 18 20 60 62 102 104 120 122	-652039783740
SPT(16)	1012156881872063911	0 22 60 100 130 172 208 256 282 330 366 408 438 478 516 538	-587174082838
STPT(12)	1012157006055597377	0 2 24 26 42 44 132 134 150 152 174 176	-462990549372
TPT(14)	1012157468960065889	0 2 60 62 102 104 108 110 192 194 270 272 312 314	-86080860
STPT(10)	1012157479927338761	0 2 30 32 78 80 126 128 156 158	10881192012
STPT(10)	1012157556913897871	0 2 36 38 78 80 120 122 156 158	87867751122
STPT(10)	1012157688064175711	0 2 36 38 78 80 120 122 156 158	219018028962
STPT(10)	1012157863020843269	0 2 12 14 150 152 288 290 300 302	393974696520
STPT(10)	1012158035184058949	0 2 18 20 30 32 42 44 60 62	566137912200