Prime p₀= 1337650420749043367 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 30 28 2 22 14 6 34 6 14 22 2 28 30 14 (?)
a_n: 0 14 44 72 74 96 110 116 150 156 170 192 194 222 252 266
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: 266
Found by: HenkM
db: batch=77, k=16, 14 30 28 2 22 14 6 34

STPT(10)	1337649153091645967	0 2 24 26 42 44 60 62 84 86	-1267657397400
SPT(16)	1337649255789748127	0 6 14 24 56 72 92 122 174 204 224 240 272 282 290 296	-1164959295240
TPT(14)	1337649531972904277	0 2 24 26 30 32 72 74 204 206 210 212 282 284	-888776139090
STPT(10)	1337649568305906179	0 2 18 20 30 32 42 44 60 62	-852443137188
STPT(10)	1337649604114336361	0 2 30 32 60 62 90 92 120 122	-816634707006
SPT(16)	1337650163265011899	0 30 64 72 78 88 102 112 120 130 144 154 160 168 202 232	-257484031468
SPT(16)	1337651212768888711	0 16 22 52 72 78 136 148 150 162 220 226 246 276 282 298	792019845344
SPT(16)	1337651343453247087	0 52 72 130 144 172 192 210 244 262 282 310 324 382 402 454	922704203720
SPT(16)	1337651419014838723	0 6 46 60 70 78 108 118 138 148 178 186 196 210 250 256	998265795356
SPT(16)	1337651512868770531	0 42 60 76 108 112 126 130 168 172 186 190 222 238 256 298	1092119727164
SPT(16)	1337651616132503933	0 6 20 44 60 66 74 86 144 156 164 170 186 210 224 230	1195383460566