Prime p₀= 1019835689919114053 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 44 52 48 12 14 4 14 118 14 4 14 12 48 52 44 (?)
a_n: 0 44 96 144 156 170 174 188 306 320 324 338 350 398 450 494
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: 494
Found by: Theadalus
db: batch=76, k=16, 44 52 48 12 14 4 14 118

SPT(16)	1019834952000846733	0 16 24 34 48 114 136 166 168 198 220 286 300 310 318 334	-737918267320
STPT(10)	1019835003372803711	0 2 36 38 78 80 120 122 156 158	-686546310342
SPT(16)	1019835096442986613	0 4 70 76 114 160 210 280 324 394 444 490 528 534 600 604	-593476127440
STPT(10)	1019835366543749867	0 2 42 44 72 74 102 104 144 146	-323375364186
SPT(16)	1019835485563697783	0 8 14 78 80 96 140 158 186 204 248 264 266 330 336 344	-204355416270
STPT(10)	1019835636728014607	0 2 12 14 72 74 132 134 144 146	-53191099446
SPT(16)	1019835825016080029	0 2 38 44 90 128 144 168 314 338 354 392 438 444 480 482	135096965976
SPT(16)	1019836188812231611	0 10 28 52 72 90 156 160 168 172 238 256 276 300 318 328	498893117558
STPT(10)	1019836283812130957	0 2 30 32 42 44 54 56 84 86	593893016904
STPT(10)	1019836343685656639	0 2 18 20 30 32 42 44 60 62	653766542586
SPT(16)	1019836607719079089	0 108 118 130 142 154 192 234 238 280 318 330 342 354 364 472	917799965036