Prime p₀= 2016125120491823951 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 2 16 12 50 22 8 42 4 42 8 22 50 12 16 2 (?)
a_n: 0 2 18 30 80 102 110 152 156 198 206 228 278 290 306 308
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: 308
Found by: Dingo
db: batch=80, k=16, 2 16 12 50 22 8 42 4

SPT(16)	2016124318136378137	0 42 52 130 202 216 232 294 322 384 400 414 486 564 574 616	-802355445814
STPT(10)	2016124595387775137	0 2 42 44 72 74 102 104 144 146	-525104048814
SPT(16)	2016124746353303527	0 22 36 106 142 174 222 240 256 274 322 354 390 460 474 496	-374138520424
SPT(16)	2016124859811340381	0 6 52 82 108 112 138 180 208 250 276 280 306 336 382 388	-260680483570
STPT(10)	2016124957169905469	0 2 18 20 30 32 42 44 60 62	-163321918482
SPT(16)	2016125078571393791	0 8 18 60 102 126 128 138 140 150 152 176 218 260 270 278	-41920430160
SPT(16)	2016125281940800873	0 36 58 64 84 100 124 156 208 240 264 280 300 306 328 364	161448976922
SPT(16)	2016125491590240647	0 12 56 66 74 80 84 102 134 152 156 162 170 180 224 236	371098416696
TPT(16)	2016125717363496239	0 2 42 44 48 50 132 134 180 182 198 200 210 212 222 224	596871672288
SPT(16)	2016125756363644967	0 6 20 54 74 126 140 144 152 156 170 222 242 276 290 296	635871821016
SPT(16)	2016125908436590609	0 24 64 94 114 130 138 142 150 154 162 178 198 228 268 292	787944766658