Prime p₀= 2217712629500165887 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 60 6 94 74 108 28 6 14 6 28 108 74 94 6 60 (?)
a_n: 0 60 66 160 234 342 370 376 390 396 424 532 606 700 706 766
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: 766
Found by: JonS
db: batch=81, k=16, 60 6 94 74 108 28 6 14

SPT(16)	2217711268484113949	0 8 42 50 78 92 120 140 162 182 210 224 252 260 294 302	-1361016051938
STPT(12)	2217711472096158041	0 2 66 68 78 80 168 170 180 182 246 248	-1157404007846
SPT(16)	2217711518607131689	0 28 58 88 132 162 184 190 252 258 280 310 354 384 414 442	-1110893034198
SPT(16)	2217711920087320957	0 34 40 54 114 124 144 154 156 166 186 196 256 270 276 310	-709412844930
SPT(16)	2217711947818233277	0 10 46 82 102 112 132 144 202 214 234 244 264 300 336 346	-681681932610
SPT(16)	2217712201216789807	0 6 52 54 76 82 84 126 160 202 204 210 232 234 280 286	-428283376080
SPT(16)	2217713091498212807	0 66 72 102 114 120 140 162 254 276 296 302 314 344 350 416	461998046920
STPT(10)	2217713517163122611	0 2 6 8 48 50 90 92 96 98	887662956724
STPT(10)	2217713992135065041	0 2 36 38 78 80 120 122 156 158	1362634899154
SPT(16)	2217714028103421137	0 26 36 50 56 90 110 132 224 246 266 300 306 320 330 356	1398603255250
SPT(16)	2217714141803665717	0 42 102 106 114 130 144 172 174 202 216 232 240 244 304 346	1512303499830