Prime p₀= 1275238271466733913 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 44 4 6 32 28 12 12 68 12 12 28 32 6 4 44 (?)
a_n: 0 44 48 54 86 114 126 138 206 218 230 258 290 296 300 344
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: 344
Found by: HenkM
db: batch=77, k=16, 44 4 6 32 28 12 12 68

SPT(16)	1275237709668974371	0 6 42 48 66 78 88 112 126 150 160 172 190 196 232 238	-561797759542
SPT(16)	1275237721915225333	0 6 124 166 174 264 280 306 328 354 370 460 468 510 628 634	-549551508580
STPT(10)	1275237783015626291	0 2 36 38 78 80 120 122 156 158	-488451107622
STPT(10)	1275237787276815119	0 2 18 20 30 32 42 44 60 62	-484189918794
SPT(16)	1275237794248028269	0 22 24 102 148 184 192 250 252 310 318 354 400 478 480 502	-477218705644
SPT(16)	1275238183881111349	0 40 42 70 72 82 120 138 142 160 198 208 210 238 240 280	-87585622564
STPT(10)	1275238369675632389	0 2 18 20 30 32 42 44 60 62	98208898476
TPT(14)	1275238811819955107	0 2 222 224 240 242 294 296 312 314 444 446 474 476	540353221194
SPT(16)	1275238885691194741	0 10 22 36 48 102 108 118 270 280 286 340 352 366 378 388	614224460828
SPT(16)	1275238959622818467	0 2 26 36 116 120 134 140 156 162 176 180 260 270 294 296	688156084554
SPT(16)	1275239040683072639	0 14 20 30 44 102 104 132 152 180 182 240 254 264 270 284	769216338726