Prime p₀= 2199241179143599681 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 24 18 4 18 6 20 16 20 6 18 4 18 24 6 (?)
a_n: 0 6 30 48 52 70 76 96 112 132 138 156 160 178 202 208
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: 208
Found by: Ben
db: batch=81, k=16, 6 24 18 4 18 6 20 16

STPT(10)	2199239795290036439	0 2 48 50 90 92 132 134 180 182	-1383853563242
SPT(16)	2199239895263964829	0 24 28 52 58 70 108 138 154 184 222 234 240 264 268 292	-1283879634852
SPT(16)	2199240194073626261	0 8 12 38 62 78 186 206 372 392 500 516 540 566 570 578	-985069973420
STPT(10)	2199240314449296917	0 2 30 32 42 44 54 56 84 86	-864694302764
STPT(10)	2199240510283618517	0 2 42 44 72 74 102 104 144 146	-668859981164
TPT(14)	2199240929047612367	0 2 12 14 30 32 150 152 210 212 222 224 234 236	-250095987314
SPT(16)	2199241210750625213	0 8 14 90 104 134 144 146 198 200 210 240 254 330 336 344	31607025532
STPT(10)	2199241303341502331	0 2 6 8 18 20 30 32 36 38	124197902650
STPT(10)	2199241716467034257	0 2 42 44 72 74 102 104 144 146	537323434576
SPT(16)	2199242354296024649	0 8 78 98 138 164 170 234 278 342 348 374 414 434 504 512	1175152424968
SPT(16)	2199242560277638849	0 24 54 58 78 94 100 120 142 162 168 184 204 208 238 262	1381134039168