Prime p₀= 3007711203683304851 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 68 42 22 54 90 24 32 4 32 24 90 54 22 42 68 (?)
a_n: 0 68 110 132 186 276 300 332 336 368 392 482 536 558 600 668
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: 668
Found by: Orange Kid
db: batch=82, k=16, 68 42 22 54 90 24 32 4

STPT(10)	3007710515231342021	0 2 6 8 48 50 90 92 96 98	-688451962830
STPT(10)	3007710663719388761	0 2 36 38 78 80 120 122 156 158	-539963916090
SPT(16)	3007711032497878373	0 6 18 30 84 104 146 168 176 198 240 260 314 326 338 344	-171185426478
STPT(10)	3007711101039745937	0 2 42 44 72 74 102 104 144 146	-102643558914
STPT(12)	3007711125418896989	0 2 42 44 78 80 162 164 198 200 240 242	-78264407862
TPT(14)	3007711125800688407	0 2 42 44 114 116 144 146 204 206 240 242 270 272	-77882616444
TPT(14)	3007711222644398717	0 2 42 44 54 56 72 74 234 236 252 254 264 266	18961093866
STPT(12)	3007711222644398759	0 2 12 14 30 32 192 194 210 212 222 224	18961093908
SPT(16)	3007711319156763641	0 38 56 60 78 86 102 108 140 146 162 170 188 192 210 248	115473458790
STPT(10)	3007711345845030827	0 2 30 32 72 74 114 116 144 146	142161725976
TPT(14)	3007711371700579457	0 2 42 44 90 92 114 116 174 176 210 212 270 272	168017274606