Prime p₀= 2307217161811911137 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 26 4 72 6 42 2 4 2 42 6 72 4 26 24 (?)
a_n: 0 24 50 54 126 132 174 176 180 182 224 230 302 306 332 356
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: 356
Found by: Orange Kid
db: batch=81, k=16, 24 26 4 72 6 42 2 4

SPT(16)	2307216414159102763	0 16 36 64 66 76 78 136 258 316 318 328 330 358 378 394	-747652808374
TPT(14)	2307216548998445429	0 2 42 44 48 50 90 92 228 230 270 272 288 290	-612813465708
SPT(16)	2307216730831325821	0 22 58 60 88 148 160 162 208 210 222 282 310 312 348 370	-430980585316
SPT(16)	2307216772222950101	0 12 48 50 86 90 128 132 176 180 218 222 258 260 296 308	-389588961036
SPT(16)	2307216930585118511	0 38 60 78 86 98 116 168 200 252 270 282 290 308 330 368	-231226792626
STPT(10)	2307217004042952887	0 2 30 32 42 44 54 56 84 86	-157768958250
STPT(10)	2307217879729671479	0 2 18 20 30 32 42 44 60 62	717917760342
SPT(16)	2307217938656479159	0 28 42 108 120 150 280 288 394 402 532 562 574 640 654 682	776844568022
STPT(10)	2307218263604868239	0 2 138 140 150 152 162 164 300 302	1101792957102
SPT(16)	2307218439192533299	0 34 42 52 60 72 90 124 228 262 280 292 300 310 318 352	1277380622162
TPT(14)	2307218513878058201	0 2 66 68 150 152 168 170 198 200 210 212 366 368	1352066147064