Prime p₀= 2112237344367473809 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 28 32 6 54 28 38 46 38 28 54 6 32 28 12 (?)
a_n: 0 12 40 72 78 132 160 198 244 282 310 364 370 402 430 442
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 442
Found by: Landjunge
db: batch=80, k=16, 12 28 32 6 54 28 38 46

STPT(10)	2112237013032456839	0 2 42 44 90 92 138 140 180 182	-331335016970
SPT(16)	2112237076106569439	0 24 32 42 48 60 80 102 110 132 152 164 170 180 188 212	-268260904370
SPT(16)	2112237137944418029	0 12 28 84 88 90 102 130 132 160 172 174 178 234 250 262	-206423055780
STPT(10)	2112237196361143469	0 2 48 50 60 62 72 74 120 122	-148006330340
STPT(10)	2112237199307283869	0 2 42 44 60 62 78 80 120 122	-145060189940
STPT(10)	2112237218708396861	0 2 6 8 48 50 90 92 96 98	-125659076948
STPT(10)	2112237413966658887	0 2 30 32 42 44 54 56 84 86	69599185078
SPT(16)	2112237606944848519	0 12 28 58 78 100 180 208 222 250 330 352 372 402 418 430	262577374710
STPT(10)	2112237619909712597	0 2 30 32 42 44 54 56 84 86	275542238788
TPT(14)	2112237877355679497	0 2 30 32 72 74 114 116 222 224 240 242 264 266	532988205688
STPT(12)	2112237960103907939	0 2 30 32 42 44 78 80 90 92 120 122	615736434130