Prime p₀= 2302370000164006217 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 12 4 144 66 2 4 74 4 2 66 144 4 12 14 (?)
a_n: 0 14 26 30 174 240 242 246 320 324 326 392 536 540 552 566
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: 566
Found by: FritzB
db: batch=81, k=16, 14 12 4 144 66 2 4 74

TPT(14)	2302368797774036939	0 2 78 80 120 122 132 134 180 182 192 194 210 212	-1202389969278
SPT(16)	2302368820787560543	0 16 76 118 120 126 130 168 316 354 358 364 366 408 468 484	-1179376445674
SPT(16)	2302368914630706151	0 6 46 60 90 112 126 130 132 136 150 172 202 216 256 262	-1085533300066
STPT(10)	2302369368983023589	0 2 18 20 30 32 42 44 60 62	-631180982628
STPT(10)	2302369622885188457	0 2 12 14 42 44 72 74 84 86	-377278817760
SPT(16)	2302369798016339659	0 10 28 40 60 70 144 174 178 208 282 292 312 324 342 352	-202147666558
STPT(10)	2302370123220909197	0 2 30 32 42 44 54 56 84 86	123056902980
TPT(14)	2302370294404679699	0 2 90 92 180 182 198 200 222 224 300 302 342 344	294240673482
SPT(16)	2302371074232691271	0 50 108 116 146 192 218 242 276 300 326 372 402 410 468 518	1074068685054
SPT(16)	2302371102062014693	0 6 28 48 64 78 84 90 154 160 166 180 196 216 238 244	1101898008476
SPT(16)	2302372041892941871	0 12 30 46 72 150 178 198 250 270 298 376 402 418 436 448	2041728935654