Prime p₀= 2433746438513684137 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 42 24 14 40 138 14 4 14 138 40 14 24 42 34 (?)
a_n: 0 34 76 100 114 154 292 306 310 324 462 502 516 540 582 616
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: 616
Found by: JayPi
db: batch=82, k=16, 34 42 24 14 40 138 14 4

SPT(16)	2433744651613040023	0 4 70 100 114 136 144 156 208 220 228 250 264 294 360 364	-1786900644114
STPT(10)	2433744941235613979	0 2 78 80 120 122 162 164 240 242	-1497278070158
SPT(16)	2433745358018657539	0 70 82 142 160 180 250 268 402 420 490 510 528 588 600 670	-1080495026598
STPT(10)	2433745374330792449	0 2 48 50 90 92 132 134 180 182	-1064182891688
SPT(16)	2433745845294829577	0 32 72 92 120 134 140 144 152 156 162 176 204 224 264 296	-593218854560
SPT(16)	2433746419973680729	0 58 82 142 168 184 190 234 268 312 318 334 360 420 444 502	-18540003408
STPT(10)	2433746509941241679	0 2 30 32 60 62 90 92 120 122	71427557542
SPT(16)	2433746530039628819	0 78 92 140 144 200 210 224 228 242 252 308 312 360 374 452	91525944682
STPT(10)	2433746543552218241	0 2 6 8 48 50 90 92 96 98	105038534104
STPT(10)	2433746896599879269	0 2 12 14 90 92 168 170 180 182	458086195132
SPT(16)	2433747075175779023	0 8 14 20 86 128 138 146 198 206 216 258 324 330 336 344	636662094886